Question

The value of ‘b’ satisfying $\log_{\sqrt{8}}b = 3\frac{1}{3}$ is

• A. 30
• B. 31
• C. 32
• D. 33

Answer 1

Answer: (C)

32

Answer 2

We have $\log_{\sqrt{8}}b = 3\frac{1}{3}$ ⇒ $\log_{2^{3/2}}b = \frac{10}{3}$

$\frac{2}{3}\log_{2}b = \frac{10}{3}$ ⇒ log₂b = 5 ⇒ b = 2⁵