Given that log 2^3..........?

Question

Given that log 2^3= 1.58,?
Given that log 2^3= 1.58, evaluate log 2^12 to the nearest hundreth.

A) 6.32
b) 4.46
C) 3.36
D) 3.58

please help me with this problem and write the solution

Answer 1

Remember that log x^a = a log x.

So: if x = 2^3, then 2^12 = x^4.
log x^4 = 4 log x
4 * 1.58 = 6.32 (a).