ln(4x+6)=ln(3x-3)

Simple and best practice solution for ln(4x+6)=ln(3x-3) 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(4x+6)=ln(3x-3) equation: 


Simplifying
ln(4x + 6) = ln(3x + -3)

Reorder the terms:
ln(6 + 4x) = ln(3x + -3)
(6 * ln + 4x * ln) = ln(3x + -3)
(6ln + 4lnx) = ln(3x + -3)

Reorder the terms:
6ln + 4lnx = ln(-3 + 3x)
6ln + 4lnx = (-3 * ln + 3x * ln)
6ln + 4lnx = (-3ln + 3lnx)

Solving
6ln + 4lnx = -3ln + 3lnx

Solving for variable 'l'.

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

Add '3ln' to each side of the equation.
6ln + 3ln + 4lnx = -3ln + 3ln + 3lnx

Combine like terms: 6ln + 3ln = 9ln
9ln + 4lnx = -3ln + 3ln + 3lnx

Combine like terms: -3ln + 3ln = 0
9ln + 4lnx = 0 + 3lnx
9ln + 4lnx = 3lnx

Add '-3lnx' to each side of the equation.
9ln + 4lnx + -3lnx = 3lnx + -3lnx

Combine like terms: 4lnx + -3lnx = 1lnx
9ln + 1lnx = 3lnx + -3lnx

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(9 + x) = 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 '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Add '-1x' to each side of the equation.
x + -1x = -9 + -1x

Combine like terms: x + -1x = 0
0 = -9 + -1x

Simplifying
0 = -9 + -1x

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:

| 2(13+y)=5 | | 3(x+5)=39 | | 2-(9-4x)=1 | | 1.3(x+5)=39 | | 5y-10=2y+4 | | 1.3(x+5)=39 | | 2y+10=x+4 | | (A)*(9bc)= | | 4x+6y=3.40 | | x^2-6x+5-3x^2-2x-2= | | 4(x-1)+2(3x+4)=3(2x+4) | | 2/5m-4/5-3/5m | | 10x+3y=4.90 | | 40x-8y=56 | | 9A=96 | | (5p-10)(2p-20)=0 | | 3x+3=-24whatisx | | ×/11=-7 | | 3x+2.8=.4x-.7 | | 25n^2+3=84 | | 4xx-1=21 | | -(3c+4)=2(c+5)+c | | -(15-s)-(6s+1)=38 | | 0.4x+0.1y=142 | | 6a+3=5a+10 | | y=160-0.5x | | x+y=165 | | 4a-7=3a-1 | | 3a-7=2a-1 | | S=a+nd | | 3/2-6-2(x-9)/3=1/6x | | 2n^2+12n-63=-9 |

Equations solver categories