SOLUTION: Log with a base of 5, fourth root of 0.2 I just got rid of the bracket so it's just 0.2 to the power of 1/4 What's my next step?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Log with a base of 5, fourth root of 0.2 I just got rid of the bracket so it's just 0.2 to the power of 1/4 What's my next step?      Log On


   



Question 364508: Log with a base of 5, fourth root of 0.2
I just got rid of the bracket so it's just 0.2 to the power of 1/4
What's my next step?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Log with a base of 5, fourth root of 0.2
I just got rid of the bracket so it's just 0.2 to the power of 1/4
--------
log%285%2C0.2%5E%281%2F4%29%29
Base change method, always works
= log(0.2^0.25)/log(5)
= -0.25
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0.2^(1/4) = 1/5^1/4 = 5^-1/4
log%285%2C5%5E%28-1%2F4%29%29+=+-1%2F4