SOLUTION: log(base x)(1/4) = (-2/3) log(

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Question 717220: log(base x)(1/4) = (-2/3)
log(
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
To making the rendering work, use this sequence of characters:
log
(x,1/4)
=
(-2/3)
and use triple lefthand brackets and triple righthand brackets.


log%28x%2C1%2F4%29=%28-2%2F3%29

If solving for x, transform into, using the fundamental meaning of logarithm,
x%5E%28-2%2F3%29=1%2F4

Now, raise each side to the (-3/2) power.
.
x=1%2F%28%281%2F4%29%5E%283%2F2%29%29
Hopefully that renders properly so you can see all the characters.
= 1%2F%28%28%281%2F4%29%281%2F4%29%281%2F4%29%29%5E%281%2F2%29%29
.
x=8 ?