Question

If 8 $\times 2^{x+2}$ = 32 , find the value of x.

Answer 1

8 $\times 2^{x+2}$ = 32
$\Rightarrow 2^3\times 2^{x+2}=2^5\Rightarrow 2^3+(x+2)=2^5\Rightarrow 2^{x+5}=2^5$
Comparing both the sides.
x + 5= 5
$\Rightarrow x=5-5=0$