Question

If $2^m+2^{1+m}=24$, then what is value of $m$?

• A. $0$
• B. $\frac{1}{3}$
• C. $3$
• D. $6$

Answer 1

The correct option is C $3$

Given, $2^m+2^{1+m}=24$
Therefore, $2^m+2\times 2^m=24$
$\Rightarrow 3\times 2^m=24$
$\Rightarrow 2^m=8$
$\Rightarrow 2^m=2^3$
$\Rightarrow m=3$