SOLUTION: solve the equation: log a (3x + 5) - log a (x - 5) = log a 8

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: solve the equation: log a (3x + 5) - log a (x - 5) = log a 8       Log On

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Question 36237: solve the equation: log a (3x + 5) - log a (x - 5) = log a 8
Answer by Prithwis(166) About Me  (Show Source):
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log a(3x + 5) - log a (x - 5) = log a 8
=> log a[(3x+5)/(x-5)] = log a 8
=> (3x+5)/(x-5) = 8
=> 3x+5 = 8x-40
=> 5x = 45
=> x = 9