1 points HPreCalc5 55052 Solve the equation Do not use mixed

+-1 points HPreCalc5 5.5.052 Solve the equation. (Do not use mixed numbers in your answer.) In(3r +1) In(4r 1) 2 Need Help? Talk to a Tutor Additional Materials eBook

Solution

ln(3x+1)/ln(4x-1)=2

ln(3x+1)= 2 ln(4x-1)

ln(3x+1)= ln(4x-1)²

3x+1=(4x-1)²

3x+1=16x²+1-8x

16x²-11x=0

x(16x-11)=0

x=0, x=11/16

And x=0 makes the natural log negative

hence the solution is x=11/16