1st law of logarithms. If a in logb (a) = c is in multiplication form, then we can expand the logarithm by adding it. Here is an example...

Let b and x be real numbers such that b > 0 and b must not be equal to one. The basic properties of logarithms are as follows: logb 1 = 0...

Logarithmic Equations: An equation involving logarithms. Example of Logarithmic Equations: logx 2 = 4 log(4x) = -log(3x + 5) log x(x-3) =...

Logarithms' definition: Let a and b be positive real numbers such that b is not equal to 1. The logarithm of a with base b is denoted by...

Let us solve exponential equations. This is the premise when we are evaluating exponential equations. b^x1 = b^x2 b1 = b2 x1 = x2 Now...

Today we are going to discuss about exponential functions that are applied in real life situation. Here are some of real-life examples...

Evaluation of Exponential Functions f(x) = 3^x if x = 2 f(2) = 3^2 f(2) = 9 if x = -4 f(-4) = 3^-4 f(-4) = 1/3^4 f(-4) = 1^4/3^4 f(-4) =...

One to One Functions are functions that have one domain and its own range. The range will not be the same for all domains (that will be...

A rational function is a function is a function of the form f(x) = p(x)/q(x) where p(x) and q(x) are polynomial functions and q(x) is not...

Let f and g be a function. Composite function formula can be denoted by: (f o g)(x) = f(g(x)) Example 1. f(x) = x + 3 g(x) = x - 7 (f o...

We can evaluate two functions together if we apply the operations of mathematics. Let f and g be the function. Addition f(x) = 2x^2 - 5x...

Here are functions that are evaluated to their x. Find f(x) = 2x^2 - 4x + 5 if x = -5 f(-5) = 2(-5)^2 - 4(-5) + 5 f(-5) = 50 + 20 + 5...

Floor Function - A function that takes an input as a real number and gives an output that is the greatest integer less than or equal to...

A piecewise-defined function is a function that is defined by two or more equations over a specified domain. Can be denoted by f(x) =...

Functions are often used to model real-life situations. Identifying an appropriate functional model will lead to a better understanding...

A function can be illustrated as a machine where there us the input and the output. When you put an object (input) into the machine, you...

A relation is any set of ordered pairs. The set of all first elements of the ordered pairs is called the domain of the relation, and the...

Credits by: https://www.bing.com/ck/a?!&&p=3c76e3ce722b5024JmltdHM9MTY3MDI4NDgwMCZpZ3VpZD0xZmQzZTgyYS05ZDc5LTZjMmQtMThjYS1mYTRiOWNlNDZkYz...

Credits by: What is a Decimal? Definition, Properties, Types, Examples, Facts (splashlearn.com) What is a Decimal? We get decimals when...

A quadratic equation is a second-order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0....