Question

solve. write your answer as an integer or a fraction in simplest form.
$8^{2x + 3} = 1$
$x =$

Explanation:

Step1: Rewrite 1 as 8 to a power

$8^{2x+3} = 8^0$

Step2: Set exponents equal (same base)

$2x + 3 = 0$

Step3: Isolate the variable term

$2x = -3$

Step4: Solve for x

$x = \frac{-3}{2}$

Answer:

$-\frac{3}{2}$