Solve the equation by expressing each side as a power of the same base and then equating exponents.
-$$2 ( 1 + 2 x ) = 32$$
A) $\{ 2 \}$
B) $\{ 16 \}$
C) $\{ 4 \}$
D) $\{ - 2 \}$

Question

Quizplus · Accepted Answer

The equation can be simplified to $2^{1+2x} = 2^5$ by recognizing that 32 is $2^5$. Equating the exponents gives $1+2x = 5$, solving for $x$ gives $x = 2$.

Solve the Equation by Expressing Each Side as a Power 2(1+2x)=322 ( 1 + 2 x ) = 322(1+2x)=32

Solve the Equation by Expressing Each Side as a Power $2 ( 1 + 2 x ) = 32$