Question 17

If $$\log_{4}{5}=(\log_{4}{y})(\log_{6}{\sqrt{5}})$$, then y equals

Correct Answer: 36

Solution

$$\frac{\log\ 5}{2\log2}\ =\frac{\log\ y}{2\log2}\cdot\frac{\log\ 5}{2\log6}$$

$$\log\ 36\ =\ \log\ y;\ \therefore\ y\ =36$$

Video Solution

video

Click on the Email ☝️ to Watch the Video Solution

CAT Quant Questions | CAT Quantitative Ability

CAT Venn Diagrams Questions CAT Simple Interest Compound Interest Questions CAT Remainders Questions CAT Linear Equations Questions CAT Coordinate Geometry Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Truth Lie Concept Questions CAT Quant Based LR Questions CAT Quant Based DI Questions CAT Charts Questions CAT Scheduling Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Jumbles Questions CAT Reading Comprehension Questions CAT Verbal Ability Questions CAT Odd One Out Questions CAT Critical Reasoning Questions

Follow us on

Boost your Prep!

Download App