How to Solve a Log Equation with No Solutions

Описание: How to solve a logarithmic equation. Isolate the log and then apply the definition of the logarithms and solve for x in the resulting equation. Be sure to check your answer.

Free math notes and steps on solving log equations: https://www.openalgebra.com/2012/11/s...

Most of the problems that we will encounter will not have a logarithm on both sides. The steps for solving them follow.

Step 1: Use the properties of the logarithm to isolate the log on one side.
Step 2: Apply the definition of the logarithm and rewrite it as an exponential equation.
Step 3: Solve the resulting equation.
Step 4: Check your answers.

Related video:    • How to Solve a Logarithmic Equation using ...  

https://www.openalgebra.com/
IA Chapter - Exponential Equations and Logarithms

1 Function Composition
2 Inverse Functions
3 Exponential Functions and Their Graphs
4 The Natural Exponential Function
5 Logarithmic Functions
6 Graphing Logarithmic Functions
7 Change of Base Formula
8 Properties of the Logarithm
9 Solving Exponential Equations
10 Solving Logarithmic Equations
11 Applications
Compound Interest Problems
Exponential Growth/Decay