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.

Add to both sides of the equation.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Solve for x 5^(x-2)=3^(2x)