Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for x in the equation $2^{2x + 2}=2^{3x}$. (1 point) $x = \\squar…

Question

solve for x in the equation $2^{2x + 2}=2^{3x}$. (1 point)
$x = \square$

Explanation:

Step1: Set exponents equal (same base)

Since the bases are the same ($2$), we can set the exponents equal: $2x + 2 = 3x$

Step2: Solve for x

Subtract $2x$ from both sides: $2 = 3x - 2x$ → $x = 2$

Answer:

$2$