Solve for x (5/3)^x=(125/27)

${(\frac{5}{3})}^{x} = (\frac{125}{27})$

Step 1

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

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

Step 2

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

$x = 3$