SOLUTION: What power of 16 is equal to 8 ? express your answer as a common fraction

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: What power of 16 is equal to 8 ? express your answer as a common fraction       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 269169: What power of 16 is equal to 8 ? express your answer as a common fraction

Found 2 solutions by ankor@dixie-net.com, Alan3354:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the 4th root of 16, (2) and cube that
:
16^(3/4) = 8

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What power of 16 is equal to 8 ?
---------
16 = 2^4
8 = 2^3
--> 16^(3/4) = 8
------------
Or
16^x = 8
x*log(16) = log(8)
x = log(8)/log(16)
x = 0.75 = 3/4