Question

If $lo{g}_{10}3=0.477$, then the value of $lo{g}_{10}{3}^{40}$ is approximately:

• A. 17
• B. 19
• C. 22
• D. 25

Answer 1

The correct option is B

19

Let $y=3^{40}$

$logy=40log3$

$\Rightarrow logy=40\times 0.477=19.08$

$\therefore$ The value of $lo{g}_{10}{3}^{40}$ is 19.