If \(\log_8 X=2/3\), then the value of \(X\) is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 4/1
A logarithm is a power: \(\log_b X=y\) means \(X=b^y\).
\(\log_8 X=\frac{2}{3}\), so \(X=8^{2/3}\)
\(8=2^3\), so \(X=(2^3)^{2/3}=2^2=4\), which Option (3) writes as 4/1