Question

Which of the following values of x satisfies the given equation?
$6^x=216$

• A. 2
• B. 4
• C. 3
• D. 6

Answer 1

The correct option is C 3

Let us substitute each value given in the options.

$\to x=4$
$6^x=6^4=6\times 6\times 6\times 6=1296$
Thus, $\text{4 is not the correct option.}$

$\to x=6$
$6^x=6^6=6\times 6\times 6\times 6\times 6\times 6=46,656$
Thus, $\text{6 is not the correct option.}$

$\to x=2$
$6^x=6^2=6\times 6=36$
Thus, $\text{2 is not the correct option.}$

$\to x=3$
$6^x=6^3=6\times 6\times 6=216$
Thus, $\text{3 is the correct option.}$