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

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


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

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

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

Reorder the terms:
-2ln + 2ln + 2lnx + -1lnx = 3

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

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

Solving
1lnx = 3

Solving for variable 'l'.

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

Divide each side by '1nx'.
l = 3n-1x-1

Simplifying
l = 3n-1x-1

See similar equations:

| (3c+3)(3c-2)= | | 21u-8u-13u+4u=12 | | 3(-1)+2y=78 | | 5x+12x+7(x+8)=200 | | -x+5y=10.5 | | 4x^2/16x | | 13w-2w-9w=-12 | | 4a(a+b)=18 | | 0.75(-4y+12)-5y=7 | | 10x+2y-5x+3y= | | 20g-15g-10g+8g+11g=-14 | | ln(x+4)-ln(16)=ln(9) | | x/4=7/q | | 3x+2(-1)=78 | | 13k-5k-5k+2k=20 | | 12w+92w=143 | | −24−18/11p=38/3p | | 2x-6x+15x=99 | | 3m+m=20 | | X+x-31+x+x+43=180 | | 7s-4s=6 | | (5d-4)(d-1)= | | 16t-15t=6 | | -3+3y=-9 | | 4+4d=-8 | | 10x=8n+34 | | .5x^2-3=-1 | | 9x-1.1=7.7 | | 1/30=1/45+1/x | | 0.05+27(3n-0.3)=4.3n | | X^2+25=20 | | 3x+7*5=87 |

Equations solver categories