Numerical value and log problem

[physstudent1]

Homework Statement

log_u (5) = a; log_u (27)=b; log_u(32)=c

what is the numerical value of u^(2a+(1/3)b-(2/5)c)

Homework Equations

The Attempt at a Solution

Can you do (u^2a * u^(b*1/3) ) / ( u^(c*-2/5))) and then do
log_u of the whole thing

from here can you make it

((u^a)^2 * (u^b)^1/3))/((u^c)^2/5)

 

[Dick]

Yes, but now u^a=5, right? What's u^b and u^c? You can turn it all into numbers.

 

[physstudent1]

yeah so i turned them all into numbers and got 18.75 I wanted to make sure this was a legit way to solve this problem thanks dick.