### Concept (1)

In order to understand solving logarithmic equations, students must understand the basics of logarithms, and how to use exponentiation to access the terms inside the logarithm. Some more complicated instances of solving simple logarithmic equations require knowledge of the product, quotient and power rules of logarithms in order to simplify complex terms.

### Sample Problems (7)

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Solve:

log2(3x + 1) = 2
###### Problem 1
How to solve a logarithmic equation with the variable inside the log.

Solve:

log497
###### Problem 2
How to solve a logarithmic statement

Solve:

logx¼ = -2
###### Problem 3
How to solve a logarithmic equation with the variable in the base.

Solve:

log55
###### Problem 4
How to solve a logarithmic statement where the base and the inside are the same.

Solve:

log7x = 0
###### Problem 5
How to solve a logarithmic equation that is equal to zero.
###### Problem 6
How to solve basic logarithmic equations by writing them in exponential form.
###### Problem 7
How to simplify logarithmic expressions.