Question

solve. write your answer as an integer or a fraction in simplest form.
$27 = 81^{x}$
$x =$

Explanation:

Step1: Rewrite bases as powers of 3

$27 = 3^3$, $81 = 3^4$, so $3^3 = 3^{4x}$

Step2: Set exponents equal

Since bases are equal, $3 = 4x$

Step3: Solve for x

$x = \frac{3}{4}$

Answer:

$\frac{3}{4}$