Question

What is `16^(log_4 8)`?

Answer 1

Answer `=64.`

Explanation:

Let `log_4(8)=x.`
`:. 4^x=8.`
`:.(2^2)^x=2^3.`
`:. 2^(2x)=2^3.`
`:. 2x=3.`
`:. x=3/2.`

Hence Reqd. Value `=16^(log_4(8))=16^x=16^(3/2)=(4^2)^(3/2)=4^3=64.`