SOLUTION: log(x^2-936)=3

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Question 173505: log(x^2-936)=3
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log(x^2-936)=3
Raise 10 to the power of both sides.
x^2-936 = 1000
x^2 = 1936
x = +44
x = -44

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Definition of logs:

y=log%28b%2C%28x%29%29 if and only if b%5Ey=x.

Since you wrote log and did not specify a base, base = 10 is understood.

From the above definition:

log%2810%2C%28x%5E2-936%29%29=3 if and only if 10%5E3=x%5E2-936

So:

x%5E2-936-1000=0

x%5E2-1936=0

%28x-44%29%28x%2B44%29=0

Therefore x=44 or x=-44