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
