Solve for x (5/4)^x=(125/64)

${(\frac{5}{4})}^{x} = (\frac{125}{64})$

Step 1

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

${(\frac{5}{4})}^{x} = {(\frac{5}{4})}^{3}$

Step 2

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

$x = 3$