Solving a Logarithmic Equation with Multiple Logs - Concept

Concept 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 Sample Problems (5)

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Solving a Logarithmic Equation with Multiple Logs - Problem 1

Solve:

log7(x + 5) − log7(x − 1) = log73
Problem 1
How to solve a logarithmic equation by condensing one side with subtraction.
Solving a Logarithmic Equation with Multiple Logs - Problem 2

Solve:

log2x + log2(x + 4) = 5
Problem 2
How to solve a logarithmic equation by condensing one side with addition.
Solving a Logarithmic Equation with Multiple Logs - Problem 3

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.
Solving a Logarithmic Equation with Multiple Logs - Problem 4
Problem 4
How to solve a logarithmic equation with multiple logs using the product rule.
Solving a Logarithmic Equation with Multiple Logs - Problem 5
Problem 5
How to combine logs to solve logarithmic equations.