Question

If $2^{x-3}\times 3^{2x-8}=36$ , then the value of $x$ is

• A. 3
• B. 2
• C. 1
• D. 5

Answer 1

Answer: (D)

5

Given,

$2^{x-3}\times 3^{2x-8}=36$

$2^{x-3}\times 3^{2x-8}=2^2\times 3^2$

$\Rightarrow 2^{x-3}=2^2$

$\Rightarrow x-3=2$

$\therefore x=5$

$\Rightarrow 3^{2x-8}=3^2$

$\Rightarrow 2x-8=2$

$\therefore x=5$