ln(3x-1)=9-ln(2x+1)

Simple and best practice solution for ln(3x-1)=9-ln(2x+1) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for ln(3x-1)=9-ln(2x+1) equation: 


Simplifying
ln(3x + -1) = 9 + -1ln(2x + 1)

Reorder the terms:
ln(-1 + 3x) = 9 + -1ln(2x + 1)
(-1 * ln + 3x * ln) = 9 + -1ln(2x + 1)
(-1ln + 3lnx) = 9 + -1ln(2x + 1)

Reorder the terms:
-1ln + 3lnx = 9 + -1ln(1 + 2x)
-1ln + 3lnx = 9 + (1 * -1ln + 2x * -1ln)
-1ln + 3lnx = 9 + (-1ln + -2lnx)

Add 'ln' to each side of the equation.
-1ln + ln + 3lnx = 9 + -1ln + ln + -2lnx

Combine like terms: -1ln + ln = 0
0 + 3lnx = 9 + -1ln + ln + -2lnx
3lnx = 9 + -1ln + ln + -2lnx

Combine like terms: -1ln + ln = 0
3lnx = 9 + 0 + -2lnx
3lnx = 9 + -2lnx

Solving
3lnx = 9 + -2lnx

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '2lnx' to each side of the equation.
3lnx + 2lnx = 9 + -2lnx + 2lnx

Combine like terms: 3lnx + 2lnx = 5lnx
5lnx = 9 + -2lnx + 2lnx

Combine like terms: -2lnx + 2lnx = 0
5lnx = 9 + 0
5lnx = 9

Divide each side by '5nx'.
l = 1.8n-1x-1

Simplifying
l = 1.8n-1x-1

See similar equations:

| 18=-w/23+20 | | 3(x-4)+x=3x-3 | | 3x-x+4=[2x-1] | | 7x+8+2=5 | | 3x-2x-1=-1 | | .2x+logx=8 | | 8(6x-4)=4(6x-10)+40 | | |5x-3|=|3x+5| | | T=2(3T-(4+3T)) | | -3=-3m+5 | | 75+(2x+5)=180 | | 34-v=212 | | T=2(3T-4(4+3T)) | | tan^2+secx-1=0 | | b^4=20 | | 2x+10-5=-3x | | 4+2y=-6 | | 12x+50=230 | | 5(P-7)-2(3-P)=28 | | 2(x+3)+2x=x(x+3) | | -b+3.5=7.5 | | 5=2z-1 | | 7(x+5)-3x=x-2 | | x-4=-[3] | | 8y^2-40=0 | | -[3]+w=-[6] | | f+15=21 | | log(9)(-11x+2)=log(9)(x^2+30) | | |x-2|=|3-2x| | | X+1(x+2)(x-5)(x-6)-144=0 | | x^2-122-144=0 | | -4x+1=19 |

Equations solver categories