### Concept (1)

When given a problem on solving a logarithmic equation with multiple logs, students should understand how to condense logarithms. By condensing the logarithms, we can create an equation with only one log, and can use methods of exponentiation for solving a logarithmic equation with multiple logs. This requires knowledge of the product, quotient and power rules of logarithms.

### Sample Problems (5)

Need help with "Solving a Logarithmic Equation with Multiple Logs" problems? Watch expert teachers solve similar problems to develop your skills.

Solve:

log7(x + 5) − log7(x − 1) = log73
###### Problem 1
How to solve a logarithmic equation by condensing one side with subtraction.

Solve:

log2x + log2(x + 4) = 5
###### Problem 2
How to solve a logarithmic equation by condensing one side with addition.

Solve:

log23 + log2x = log2(x − 2) + log2(x + 2)
###### Problem 3
How to solve a logarithmic equation with multiple logarithms on both sides of the equal sign.
###### Problem 4
How to solve a logarithmic equation with multiple logs using the product rule.
###### Problem 5
How to combine logs to solve logarithmic equations.