Question

What is the anser to the equation 2^{2x+2} = 2^{3x}

A) x = 2.5
B) x = 1
C) x = 2
D) x = -2

Answer 1

Answer: C) x = 2

2^{2x + 2} = 2^{3x}

Since both terms (above) have the same base, set the exponents to be equal:

2x + 2 = 3x (Rearrange to solve for x)

x = 2

∴ x = 2