# Solve Exponential Equations using Logarithms

Videos and lessons with examples and solutions to help High School students learn how to express as a logarithm the solution for exponential models abc  = d where ac, and d  are numbers and the base b is 2, 10, or e; and evaluate the logarithm using technology.

Common Core: HSF-LE.A.4

## Common Log or Log base 10

Ex: Write Exponential Equations as Logarithmic Equations
This video provides 4 examples of how to write exponential equations as logarithmic equations.

Solving Exponential Equations
This video explains how to solve exponential equations using logarithms. It also shows how to check your solution graphically.

Ex 1: Solve Exponential Equations Using Logarithms
This video provides two examples of how to solve exponential equations using logarithms.

Ex 2: Solve Exponential Equations Using Logarithms.

Ex 3: Solve Exponential Equations Using Logarithms.

Ex 4: Solve Exponential Equations Using Logarithms.

## Natural Log or Log base e

Ex: Write Exponential Equations as Logarithmic Equations - Natural Logarithms
This video provides 2 examples of how to write exponential equations with base e as natural logarithmic equations.

Solving an Exponential Equation Using Natural Log (base e)
In this video we solve a couple of exponential equations using natural logs.

Solving an Expoential Equation Using Natural Log
In this video we solve an exponential equation in which there is an exponential term on both sides of the equation using natural log.

Use the following logarithm calculator to calculate the log of any base.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.