Question

How do I evaluate this?
5/2log4 (4^(1/3)

Answer 1

Do you mean,\[\frac{5}{2}\log_4 4^{1/3}\]?

Answer 2

If so, then you need to use your log laws:\[\log_4 4^{1/3}=\frac{1}{3}\log _ 4 4=\frac{1}{3}\]

Answer 3

So your expression is\[\frac{5}{2}\log_4 4^{1/3}=\frac{5}{2}\times \frac{1}{3}=\frac{5}{6}\]