ln*(3x-5)=ln*10-ln*(x-2)

Simple and best practice solution for ln*(3x-5)=ln*10-ln*(x-2) 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-5)=ln*10-ln*(x-2) equation: 


Simplifying
ln(3x + -5) = ln * 10 + -1ln(x + -2)

Reorder the terms:
ln(-5 + 3x) = ln * 10 + -1ln(x + -2)
(-5 * ln + 3x * ln) = ln * 10 + -1ln(x + -2)
(-5ln + 3lnx) = ln * 10 + -1ln(x + -2)

Reorder the terms for easier multiplication:
-5ln + 3lnx = 10ln + -1ln(x + -2)

Reorder the terms:
-5ln + 3lnx = 10ln + -1ln(-2 + x)
-5ln + 3lnx = 10ln + (-2 * -1ln + x * -1ln)
-5ln + 3lnx = 10ln + (2ln + -1lnx)

Combine like terms: 10ln + 2ln = 12ln
-5ln + 3lnx = 12ln + -1lnx

Solving
-5ln + 3lnx = 12ln + -1lnx

Solving for variable 'l'.

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

Add '-12ln' to each side of the equation.
-5ln + -12ln + 3lnx = 12ln + -12ln + -1lnx

Combine like terms: -5ln + -12ln = -17ln
-17ln + 3lnx = 12ln + -12ln + -1lnx

Combine like terms: 12ln + -12ln = 0
-17ln + 3lnx = 0 + -1lnx
-17ln + 3lnx = -1lnx

Add 'lnx' to each side of the equation.
-17ln + 3lnx + lnx = -1lnx + lnx

Combine like terms: 3lnx + lnx = 4lnx
-17ln + 4lnx = -1lnx + lnx

Combine like terms: -1lnx + lnx = 0
-17ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-17 + 4x) = 0


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-17 + 4x)' equal to zero and attempt to solve:

Simplifying
-17 + 4x = 0

Solving
-17 + 4x = 0

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

Add '17' to each side of the equation.
-17 + 17 + 4x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 4x = 0 + 17
4x = 0 + 17

Combine like terms: 0 + 17 = 17
4x = 17

Add '-4x' to each side of the equation.
4x + -4x = 17 + -4x

Combine like terms: 4x + -4x = 0
0 = 17 + -4x

Simplifying
0 = 17 + -4x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 2m+5m(m-6)=3m+14 | | 39.4+-(7.2)= | | 13/lnx | | 2(x-3)+3(x+2)=x-5 | | x+12=4+2 | | 0.15*40= | | 2(3x-3)=8x-7 | | 17+(-59)= | | 15*3-x=115 | | 4(6-2d)=30-d | | 3(-2)-2=4 | | 4(6-2x)=30-d | | d/dx(sinx/2) | | 0.463=0.46300 | | 2y^2+3x=18 | | (3y+4)(-2y+6)+(3y+6)= | | 3(x+2)-x=2(4x-3)+2 | | 5(-3)-6=39 | | -10x-24=15x-7x | | 10x/3=12 | | 600000-150000= | | 12x=10/3 | | 0.496/3 | | 6x+((2x)(2x))=216 | | 2(-2)-3=11 | | 3x^2+17x+5+5=0 | | 5(z+2)= | | 14x-27=-6x+3 | | K/4-4.2=11.8 | | -8-6x=-9x-x | | -5x=84-8x | | 3r-27=-35+2r |

Equations solver categories