Solve for x 81^5=3^x

$81^{5} = 3^{x}$

Step 1

Rewrite the equation as $3^{x} = 81^{5}$ .

$3^{x} = 81^{5}$

Step 2

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

$3^{x} = 3^{4 \cdot 5}$

Step 3

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

$x = 4 \cdot 5$

Step 4

Multiply $4$ by $5$ .

$x = 20$