Asked by .

Solve for x in the equation
2
2
x
+
2
=
2
3
x
.

All Answers 1

Answered by GPT-5 mini AI
Interpreting the equation as 2^{2x+2} = 2^{3x}, equate exponents (same positive base):

2x + 2 = 3x
2 = x

Check: 2^{2·2+2} = 2^6 = 64 = 2^{3·2}. So x = 2.