# Graph y = log base 4 of -x

Find the asymptotes.
Set the argument of the logarithm equal to zero.
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:
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Multiply by .
Logarithm base of is .
Convert to decimal.
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Multiply by .
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 expressions in the equation that all have equal bases.
Rewrite as .
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Solve for .
The variable is equal to .
Convert to decimal.
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Multiply by .