logarithms rules

The rules of logarithms are as follows:
Lets study about logarithms rules.
Loga mn = loga m + logan, where ‘a’ is any positive number such that a≠1

Loga m/n= loga m - logan , and

Loga mb = b loga m

Where b is any rational number and m and n are positive number.You can apply the same rules on corresponding angles

Example Log15 = Log 5 + Log 3

Log 4/5= Log 4 – Log 5

Log64= Log 43 = 3 Log 4

Exercise1. convert into exponential form logm n = p

Options A. np = m

B. mp= n

C. pm= n

D mn=p

Correct answer B. This could also help us on perpendicular vectors

Note on Simplifying Fractions

Simplifying Fractions:
A numerical expressions representing a part of a larger whole number. A fraction numbers can be converted to a decimal by dividing the upper number, or numerator, by the lower number, or denominator.

We call the top number the Numerator.
We call the bottom number the Denominator.
Example 1: 12/64(simplifying Fractions)
The fraction 12/64 is not reduced to lowest terms.
We can simplify this fractions to lowest terms by dividing both the numerator and denominator by 4. This could also help us on mean maths
Why divide by 4? 4 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 12 and 64.
So, this fraction reduced to lowest terms is3/16
The final answer is 3/16

Inverse functions calculator

Introduction to inverse function calculator

Every bijective functions has inverse. In this article let me help you on inverse functions calculator. The function f:R→R defined by f(x) =sinx is not one one, since f(0) = 0=f(π) and hence f is not a bijection. If we restricts the domain and codomain, the function f(x)= sinx may be converted into a bijection. The restricted bijective sine function is denoted by Sinx.

Definition: The function f:[-π/2, π/2] →[-1,1] defined by f(x)=sinx is a bijection. This could also help us on sigma symbol. The inverse of f froms [-1, 1] into [-π/2, π/2] is also a bijection. This functions are inverse function of Arc sine function. It is denoted by sin^-1 or Arc sin.

Note on equation of circle

Introduction to general circle equation:
In this article let me help you on equation of circle. A circle is a simple shapes of Euclidean geometry consisting of those points in planes which are equidistant from a given point called the center. The common distances of the point of a circle from its center is called its radius. The circumference of a circles is the perimeter of the circle (especially when referring to its length). In this article we shall discuss about general equations of circle.

General Circle Equation Example Problem
The circle equations of center radius of the circle in the form of (x – h)2 + (y – k)2 = r2 . This could also help us on integration by substitution. The center of the circles is starting at the point of (h, k) and the radius of the circle starting "r". This format of the circle equations is helpful, for easily find the center and the radius of the circle.

Formula for perimeter of a rectangle

Introduction for perimeters of rectangles :
In this article let me help you on formula for perimeter of a rectangle. Rectangles are a geometric shape it has four sides with opposite sides are equal, Perimeter tutorial for rectangle requires length and breadth measures of a rectangle, We have a suitable formula for finding the perimeter of rectangle. Rectangle is a four sided polygons and all interior angle of an rectangle is at 90°.Rectangle tutorial of an perimeter will be calculate the perimeter by the help of given length and breadth of an rectangles.

Formula for Finding Perimeters of a Rectangle:
Formula for finding perimeters of a rectangle calculator which need to be length (l) and breadth (b) of a rectangle. In this section we are going to tutorial for finding the perimeters of rectangle. This could also help us on math riddles with answers







Perimeter of rectangle =2 (length + Breadth)
=2 (l + b)
At first we have to find the measure of a length and breadth of a rectangle and then substitute the length and breadth measure of rectangle in the perimeter formula and tutorial the perimeters of rectangle.

Help on how to multiply decimals

Introduction to how do u multiply decimals:
In this article let me help you learn on how to multiply decimals. A decimal number is the base-10 system used in expressing a mixed number. In other words, it is a way of naming the values that lie between whole numbers. The whole number is separated from the fractional portion of the number with a decimal point. Let us see problems for how do u multiply decimals.

How do U Multiply Decimals:
Multiplying Decimal Numbers

How do u multiply decimals,multiply decimals set up the math problem like regular multiplication. While we get our answer, add up the total number of digits to the right of the decimals in both the numbers we are multiplying and place the decimal in our answers that many places from the right end. This could also help us on uses of statistics

Example 1:
.023 -----------> three digits
.03 × -----------> two digits
--------------
.00069 -----------> five digits
Example 2:
35
.8 ×
------------
28
------------
28 is the answer

Online algebra help

Introduction for solve algebra :
In this section let me help you on online algebra help, in this we are solving equations and evaluating function by the help with arithmetic functions, we denote variables like x,y in systematic equations to denote numbers. Major Symbols in an algebraic expression are called variables An Algebraic expression of the form axn is called a monomial in x. In algebra 1 contains evaluations and solving for different variables, an algebraic equations which are having common solution set is called linear equations.

How to Solve Algebra 1 Homework Problems:
This could also help us on variance formula . In solve algebra 1 we have to solve for variables for further steps we eliminate for variables and performing arithmetic in equations and finally solve the equation for variables.by evaluating step by step we have to do following process given in example problems

online math tutor

Introduction to learn online mathematics tutor:
Today let me help you on online math tutor along with major importance in learning through online. Online tutor help students to learn in a new way. Tutor do their job with tools like chat, whiteboard, teleconferencing and web conferencing make easy to deliver course back and forth for tutoring for students to learn online. Learn online mathematics tutor is a general math, so let us take problems from numbers, algebra. In this article let us see problems to learn online mathematics tutor.

Learn Online Mathematics Tutor:
Algebra problems:
Example:
Find the value of the expression 2x + 7 , if x = 7
Solution:
use x = 7 in the given expression 2x + 7
2x+ 7 = 2(7) + 7
= 14 + 7
X = 21
Here the value of the expression is 21. This could also help us on Statistics Problems Solved

online geometry homework help

Introduction to online geometry homework help:
Here we are going to see the article as online geometry homework help, Generally geometry is used for learning shapes and their properties of the objects ,it will be classified as two types plane geometry and solid geometry ,plane geometry is used for study about the flat shapes objects like lines ,circles and triangles etc(usually plane means we called as a flat surface ,these surfaces have only two dimension such as length and height ) and solid geometry is used for study about the three dimension objects like cubes and pyramids .free statistics answers

geometry homework help

Introduction to online free geometry homework help:

In this session let me help you on online geometry help. Online is a free process to getting help from others .In schools, teachers will teach the lessons for the whole class but in the way of online method .The student can study the lessons with out any disturbances and he can take more notes freely from online process. Geometry is a important part of mathematics that involves with shape, position of figures and the property of space. In study the geometry math problems are in different shapes presented. In that we have to find the area, perimeter, volume and surface area.
Solved Problems at Online Free Geometry Homework Help

* Area of a rectangle = length × breadth

A = l × b

* Perimeter of a rectangle = 2 lengths + 2 breadths . This can also help us on free geometry answers

P = 2l + 2b

Area of a Triangle Calculator

In this article let me help you on area of a triangle calculator. Before i take you through on this let me give a brief introduction to area and triangle and how does it help in mathematics.

Area:
The size of a surface is also known as area of the shape. The amount of space within the boundary of a flat (2-dimensional) object such as a triangle or circle. These areas are all the same.

Triangle:
We know that triangle has three sides. And each side has different lengths . And the sides and angles are not equal.

Examples of Area of Triangle Help:

Following example will help you understand the problem on steb step basis. and this could also help you on obtuse triangle.

* Formula for area of triangle = ½ bh.

Here b represent the base of a triangle

h represent the height of a triangle .

Example 1:

Find the area of triangle with base 5 cm and height 8 cm?

Solution:

Step 1: we know that area of triangle = ½ bh.

Step 2: Substitute base and height value in formula.

Step 3: Therefore we get ½ *8 *5 .

Step 4: The area of triangle = 20 cm 2.

Introduction to extensive intensive property

Introduction to extensive intensive property:

In this article let me help you on extensive property. Following introduction will help you better on this article after going through if you still have any problems or comments do leave your comments or even if you wish to share anything in specific let me know so that in the next article i can help you on that in particularly.

In thermodynamics we will be discussing two types of property

1 Extensive property
2. Intensive property

Extensive Property

The properties that depend on the mass or size of the system, more clearly on the amount of substance are called as extensive properties. Examples: volume, number of moles, mass, energy, internal energy etc. The value of the extensive property is equal to the sum of extensive properties of smaller parts into which the system is divided. Suppose x1 ml, x2 ml,x3 ml of 1,2,3 gases are mixed in a system, the total volume of the system equals to (x1 + x2 + x3) ml. Thus volume is an extensive property.This could also help us on logical reasoning test

Help on Percentage Formula

Today let me try to help you on one among the important formula in math that is percentage formula with out which math is incomplete.

The formula for percentage is the following and it should be easy to use:




We will take examples to illustrate.Let us start with the formula on the left

An important thing to remember: Cross multiply

It means to multiply the numerator of one fraction by the denominator of the other fraction. This could also help us on working out percentages

Example :

25 % of 200 is____

In this problem, of = 200, is = ?, and % = 25

We get:

is/200 = 25/100

Since is in an unknown, you can replace it by y to make the problem more familiar

y/200 = 25/100

Cross multiply to get y × 100 = 200 × 25

y × 100 = 5000

Divide 5000 by 100 to get y

Since 5000/100 = 50, y = 50

So, 25 % of 200 is 50

Introduction to Isosceles trapezoid

Introduction to Isosceles trapezoid:

In this section let me help you on isosceles trapezoid. Isosceles trapezoid is one of the type of quadrilateral with a line of symmetry bisecting one pair of opposite sides, make it automatically a trapezoid .Isosceles trapezoid a two-dimensional figure produced by relating four segments endpoint to endpoint with each segment intersecting exactly two others. Isosceles trapezoid also has four sides and four angles.

Sum of interior angle of any polygon is (n-2) *180o. Here isosceles trapezoid has four sides so interior angle is (4-2)*180o = 360o.Exterior angle of any polygon is 360o so the exterior angle of a quadrilateral is 360 degree. In this article we shall discuss about isosceles trapezoid.This could also help us on online fraction calculator.


The diagonals of an isosceles trapezoid are same. Diagonals divide each other into segments of the same length. The isosceles trapezoid PQRS has diagonals PR and QS have the same length (PR = QS).Intersect the diagonals at point O and diagonals are divide each other in segments of the same length (PO = SO and QO = RO).