Set the argument of the logarithm equal to zero.

Solve for .

Subtract from both sides of the equation.

Multiply each term in by

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Multiply by .

The vertical asymptote occurs at .

Vertical Asymptote:

Vertical Asymptote:

Replace the variable with in the expression.

Simplify the result.

Multiply by .

Subtract from .

The natural logarithm of is .

The final answer is .

Convert to decimal.

Replace the variable with in the expression.

Simplify the result.

Subtract from .

The final answer is .

Convert to decimal.

Replace the variable with in the expression.

Simplify the result.

Multiply by .

Add and .

The final answer is .

Convert to decimal.

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

Vertical Asymptote:

Graph natural log of 2-x