CAT 2017 [slot 1] Question with solution 23

Question 23:
The value of $\log_{0.008}\sqrt{5}+\log_{\sqrt{3}}81-7$ is equal to
  1. 1/3
  2. 2/3
  3. 5/6
  4. 7/6
Option: 3
Explanation:

$\log_{0.008}\sqrt{5}+\log_{\sqrt{3}}81-7$

$3^4 = 81$

Hence,

$\log_{0.008}\sqrt{5}+ 8 -7$

$\frac{log 5^{0.5}}{log 5^{-3}} + 1$

$1 - \frac{1}{6}$

= $\frac{5}{6}$

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