SOLUTION: log (x+7) - log (x-2) = 1

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Question 98595: log (x+7) - log (x-2) = 1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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log (x+7) - log (x-2) = 1
:
Same as:
log%28%28%28x%2B7%29%29%2F%28%28x-2%29%29%29%29 = 1
:
Find the anti-log of both sides
%28%28x%2B7%29%29%2F%28%28x-2%29%29%29 = 10
:
x + 7 = 10(x - 2)
x + 7 = 10x - 20
7 + 20 = 10x - x
9x = 27
x = 27/9
x = 3
:
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Check solution, substitute 3 for x in original equation you have:
log(10) - log(1)
1 - 0 = 1
:
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