Question 743078: 1. solve the following equation
ln(5x+1)=2-ln(2x-3)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! 1. solve the following equation
ln(5x+1)=2-ln(2x-3)
ln(5x+1)+ln(2x-3)=2
ln[(5x+1)(2x-3)]=2
convert to exponential form
e^2=(5x+1)(2x-3)
e^2=(10x^2-13x-3)
10x^2-13x-3-e^2=0
10x^2-13x-10.389=0
solve for x using quadratic formula
x≈-0.5589 (reject, (5x+1)>0)
or
x≈1.8589
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