Use log4 (2) = 0.5 to approximate the value of log4 (32)

log4 (32) = 2.5

Step-by-step explanation:

Given that,

log4 (2) = 0.5

To find: log4 (32)

32 can be written as 2 power 5

log4 (32) = log4 (2^5)

= 5 log4 (2)

In the logarithms if there is a power it is multiplied and only the log is applied to the base of the powered term.

Hence,

log4 (32) = 5log4 (2)

We know that log4 (2) = 0.5

So,

log4 (32) = 5 (0.5)

log4 (32) = 2.5