Set the argument of the logarithm equal to zero.

Solve for .

Take the 4th root of both sides of the equation to eliminate the exponent on the left side.

Simplify the right side of the equation.

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

is equal to .

The vertical asymptote occurs at .

Vertical Asymptote:

Vertical Asymptote:

Replace the variable with in the expression.

Simplify the result.

The natural logarithm of is .

Multiply by .

The final answer is .

Convert to decimal.

Replace the variable with in the expression.

Simplify the result.

Simplify by moving inside the logarithm.

Raise to the power of .

The final answer is .

Convert to decimal.

Replace the variable with in the expression.

Simplify the result.

Simplify by moving inside the logarithm.

Raise to the power of .

The final answer is .

Convert to decimal.

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

Vertical Asymptote:

Graph f(x)=4 natural log of x