SOLUTION: Solve log10(3x + 2) – 2log10x = 1 – log10(5x – 3)

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Question 797293: Solve log10(3x + 2) – 2log10x = 1 – log10(5x – 3)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve log10(3x + 2) – 2log10x = 1 – log10(5x – 3)
log%28%283x%2B2%29%29-2log%28%28x%29%29=1-log%28%285x-3%29%29
log%28%283x%2B2%29%29-2log%28%28x%29%29%2Blog%28%285x-3%29%29=1
log%28%283x%2B2%29%285x-3%29%2F%28x%5E2%29%29=log%2810%29
%28%283x%2B2%29%285x-3%29%2F%28x%5E2%29%29=%2810%29
(3x+2)(5x-3)=10x^2
15x^2+x-6=10x^2
5x^2+x-6=0
(5x+6)(x-1)=0
x=-6/5
or
x=1