SOLUTION: Can anyone please help me with a few questions? Log x^2=1/3 find the solution set

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Question 1009516: Can anyone please help me with a few questions?
Log x^2=1/3 find the solution set
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

log%28%28x%5E2%29%29=1%2F3

2log%28%28x%29%29=1%2F3

log%28%28x%29%29=%281%2F3%29%2F2

log%28%28x%29%29=%281%2F6%29.....change to base 10

log%28%28x%29%29%2Flog%2810%29=%281%2F6%29

log%28%28x%29%29=%281%2F6%29log%28%2810%29%29

log%28%28x%29%29=log%28%2810%5E%281%2F6%29%29%29

x=10%5E%281%2F6%29

x=root%286%2C10%29

solutions:

x=root%286%2C10%29 or x=-root%286%2C10%29