SOLUTION: how would you solve this equation? logx5=1/4

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Question 70939: how would you solve this equation? logx5=1/4
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
how would you solve this equation? logx5=1/4
Is this log base x of 5 = 1/4? (The x would be smaller and lower)
If so, rewrite it as an exponential function.
x%5E%281%2F4%29=5
x= the fourth root of 5
x= approximately 1.495348781
:
If this is the common log of x to the 5th power, the x would be normal sized and the 5 would be smaller and higher.
log%28x%5E5%29=1%2F4
5log%28x%29=1%2F4
%281%2F5%29%285log%28x%29%29=%281%2F5%29%281%2F4%29
log%28x%29=1%2F20
x=10%5E%281%2F20%29
x= approximately 1.122018454
I'm sorry that I can't be sure what you meant, I hope this helped.
Happy Calculating!!!!