SOLUTION: logx (1/8) = -3 how do you answer this?

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Question 211300: logx (1/8) = -3
how do you answer this?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember that if log%28b%2C%28x%29%29=y, then b%5Ey=x


In this case, since log%28x%2C%281%2F8%29%29=-3, this means that x%5E%28-3%29=1%2F8


x%5E%28-3%29=1%2F8 Start with the given equation.


1%2F%28x%5E3%29=1%2F8 Rewrite x%5E%28-3%29 as 1%2F%28x%5E3%29


1%2A8=1%2Ax%5E3 Cross multiply


8=x%5E3 Multiply


x%5E3=8 Rearrange the equation


x=root%283%2C8%29 Take the cube root of both sides.


x=2 Take the cube root of 8 to get 2


So the solution is x=2