SOLUTION: LOGx + LOG(x-15) = 2 Solve for x. Answer is 20 but I can not figure out how to get it. If it was log base 8 x + log base 8 (x-15) = 2 I can figure it out.

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Question 893267: LOGx + LOG(x-15) = 2 Solve for x. Answer is 20 but I can not figure out how to get it. If it was log base 8 x + log base 8 (x-15) = 2 I can figure it out.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
LOGx + LOG(x-15) = 2 Solve for x.
Adding logs is multiply

The exponent equiv
x(x-15) = 10^2
x^2 - 15x = 100
x^2 - 15x - 100 = 0
Factors to
(x - 20) (x + 5) = 0
only the positive solution is valid here
x = 20

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