# Precalculus Examples

Step 1

Rewrite as an equation.

Step 2

Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and does not equal , then is equivalent to .

Step 3

Create equivalent expressions in the equation that all have equal bases.

Step 4

Since the bases are the same, the two expressions are only equal if the exponents are also equal.

Step 5

The variable is equal to .