# Graph f(x) equals minus log base three of minus one divide three x

Set the argument of the logarithm equal to zero.

Write the numerator equal to zero.

The vertical asymptote occurs at .

Vertical Asymptote:

Vertical Asymptote:

Replace the variable with in the expression.

Clarify the result.

First, multiply .

Multiply by .

Multiply by .

Logarithm base of is .

The result is .

Convert to decimal.

Replace the variable with in the expression.

Clarify the result.

Multiply .

Multiply by .

Add and .

Should be rewritten as .

Rewrite as .

Use logarithm rules to move out of the exponent.

Logarithm base of is .

Multiply by .

Use the distributive law.

The final answer is .

Convert to decimal.

Replace the variable with in the expression.

Simplify the result.

The common factor should be canceled of .

Move the leading negative in into the numerator.

Factor out of .

Cancel the common factor.

Reformulate the expression.

Multiply by .

Logarithm base of is .

Multiply by .

The result is .

Convert to decimal.

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

Vertical Asymptote:

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