Find $\log _{3 / 2} 3.375$

If $\log_{10} 2 = 0.3010$ and $\log_{10} 3 = 0.4771$,then the number of zeros between the decimal point and the first significant figure in $(0.0432)^{10}$ is:

If $0 < a \leq x$,the minimum value of $\log_{a} x + \log_{x} a$ is

If $0 < a < 1$,$0 < x < 1$,and $x < a$,then $\log_{a} x$ is:

If $\log _{4} x+\log _{8} x=5,$ then $x$ is equal to

Evaluate: $\frac{\log \sqrt{27}+\log \sqrt{1000}+\log 8}{\log 120}$