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

1. anonymous

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

2. anonymous

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

3. anonymous

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