Set the argument of the logarithm equal to zero.

Add to both sides of the equation.

The vertical asymptote occurs at .

Vertical Asymptote:

Vertical Asymptote:

Replace the variable with in the expression.

Simplify the result.

Subtract from .

Logarithm base of is .

The final answer is .

Convert to decimal.

Replace the variable with in the expression.

Simplify the result.

Subtract from .

Logarithm base of is .

The final answer is .

Convert to decimal.

Replace the variable with in the expression.

Simplify the result.

Subtract from .

Logarithm base of is .

Rewrite as an equation.

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

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

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

The variable is equal to .

The final answer is .

Convert to decimal.

The log function can be graphed using the vertical asymptote at and the points .

Vertical Asymptote:

Graph log base 3 of x-2