Question

Which of the following values of x satisfies the given equation?
$8^x=4096$

• A. 1
• B. 4
• C. 2
• D. 3

Answer 1

The correct option is B 4

Let us substitute each value given in the options.

$\to x=2$
$8^x=8^2=8\times 8=64$
Thus, $\text{2 is not the correct option.}$

$\to x=1$
$8^x=8^1=8$
Thus, $\text{1 is not the correct option.}$

$\to x=3$
$8^x=8^3=8\times 8\times 8=512$
Thus, $\text{3 is not the correct option.}$

$\to x=4$
$8^x=8^4=8\times 8\times 8\times 8=4096$
Thus, $\text{4 is the correct option.}$