Take the log of both sides of the equation.

Expand by moving outside the logarithm.

Expand by moving outside the logarithm.

Apply the distributive property.

Subtract from both sides of the equation.

Subtract from both sides of the equation.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Solve for x 5^(x+4)=9^x