This topic covers: - Radicals & rational exponents - Graphs & end behavior of exponential functions - Manipulating exponential expressions using exponent properties - Exponential growth & decay - …

Logarithms are the inverses of exponents. They allow us to solve challenging exponential equations, and they are a good excuse to dive deeper into the relationship between a function and its inverse.

Given a few points on the graph of an exponential function, Sal plots the corresponding points on the graph of the corresponding logarithmic function. Created by Sal Khan.

Creating exponential functions Learn Exponential expressions word problems (algebraic) Writing functions with exponential decay

Radicals let us work backwards to get a base, but logarithms retrieve the exponent. The logarithmic properties may look new, but they're just the exponential properties in a new notation.

The Algebra 2 course, often taught in the 11th grade, covers Polynomials; Complex Numbers; Rational Exponents; Exponential and Logarithmic Functions; Trigonometric Functions; Transformations of …

An exponential function represents the relationship between an input and output, where we use repeated multiplication on an initial value to get the output for any given input. Exponential functions …

Learn how to solve any exponential equation of the form a⋅b^ (cx)=d. For example, solve 6⋅10^ (2x)=48. The key to solving exponential equations lies in logarithms! Let's take a closer look by working …

The graph of y=log base 2 of x looks like a curve that increases at an ever-decreasing rate as x gets larger. It becomes very negative as x approaches 0 from the right.

Find derivatives of logarithmic functions. For example, differentiate f (x)=log (x²-1).