SOLUTION: 1. solve the following equation ln(5x+1)=2-ln(2x-3)

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
RELATED QUESTIONS
solve the following logarithmic equation ln(x)=... (answered by solver91311)

Solve Equation ln(3x+1)/ln(2x-1)=2 (answered by lwsshak3)

ln(x+2)=ln(2x-1)+3 (answered by sdmmadam@yahoo.com,longjonsilver)

Solve... (answered by stanbon)

Solve Each Equation For X. Round To The Nearest Hundredth. 1. 4log x = 5 2. log2 x +... (answered by ewatrrr)

Solve the equation: ln(x^2 + 1) - ln(x - 1) = 1 + ln (x +... (answered by josmiceli,stanbon)

Solve the following equation. Give answers to the nearest hundredth if necessary.... (answered by stanbon)

How do you solve the following?... (answered by nerdybill)