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

Simple and best practice solution for 1-ln(x-2)=ln(3x+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 1-ln(x-2)=ln(3x+1) equation:


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

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

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

Solving
1 + 2ln + -1lnx = 1ln + 3lnx

Solving for variable 'l'.

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

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

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

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

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

Combine like terms: -1lnx + -3lnx = -4lnx
1 + 1ln + -4lnx = 3lnx + -3lnx

Combine like terms: 3lnx + -3lnx = 0
1 + 1ln + -4lnx = 0

Add '-1' to each side of the equation.
1 + 1ln + -1 + -4lnx = 0 + -1

Reorder the terms:
1 + -1 + 1ln + -4lnx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1ln + -4lnx = 0 + -1
1ln + -4lnx = 0 + -1

Combine like terms: 0 + -1 = -1
1ln + -4lnx = -1

Reorder the terms:
1 + 1ln + -4lnx = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 1ln + -4lnx = 0

The solution to this equation could not be determined.

See similar equations:

| 2x^2+90=0 | | 4a+13=27 | | -7x-13g=54 | | y^2+1+2y^2+5= | | 1.75+x+x+x=9.25 | | (2x+3y)(4x-5y)= | | F(x)=x^2-10x+11 | | 62x=97 | | 3x-4=34 | | 2(10-6x)=x-8m | | 75=3y+1+12y-4 | | 77+3x=108 | | 5(x-4)+7=2(x-5) | | -30-4x=6x | | (2x+3y)(4x+6)= | | 10x^2+40x+42=0 | | 2-3(x+2)=8+x | | 3x^2+3y^2-4xy+6x-7=0 | | 8-4x=4+3x | | 8-4x=4+5x | | 5x+6-x^2=0 | | 5x=123 | | Y=-x^2+4x-5 | | (t^2-1)(5-4t)= | | .4(x-6)=7.6 | | 24-6x=14-8x | | u+3u-4u^2-u= | | x*12=180 | | 61-2x=12-9x | | 4x(-5+x)=10-2x | | 0.2x-1.4=1.1x+3.2 | | 1.4(z-1)=0.4(z+0.5) |

Equations solver categories