Question

The value of \(\frac{\log \sqrt{27}}{\log 9}\) is
1. 2
2. 4/3
3. 3/2
4. 3/4
5. 2/3

Answer 1

Correct Answer - Option 4 : 3/4

Concept:

1) n logm = logmn

2) log m + log n = log(mn)

3) log m - log n = log(m/n)

Calculation:

\(\frac{\log \sqrt{27}}{\log 9} = \frac{\log 3^{3/2}}{\log 3^2} = \frac{\frac{3}{2}\log 3}{2\log 3}=\frac{3}{4}\)