Rewrite the equation as .

Create equivalent expressions in the equation that all have equal bases.

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move all terms not containing to the right side of the equation.

Add to both sides of the equation.

Write as a fraction with a common denominator.

Combine the numerators over the common denominator.

Add and .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Mixed Number Form:

Solve for x 125=25^(x-1)