ln(2x-3)-ln(x-5)=9

Simple and best practice solution for ln(2x-3)-ln(x-5)=9 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-3)-ln(x-5)=9 equation: 


Simplifying
ln(2x + -3) + -1ln(x + -5) = 9

Reorder the terms:
ln(-3 + 2x) + -1ln(x + -5) = 9
(-3 * ln + 2x * ln) + -1ln(x + -5) = 9
(-3ln + 2lnx) + -1ln(x + -5) = 9

Reorder the terms:
-3ln + 2lnx + -1ln(-5 + x) = 9
-3ln + 2lnx + (-5 * -1ln + x * -1ln) = 9
-3ln + 2lnx + (5ln + -1lnx) = 9

Reorder the terms:
-3ln + 5ln + 2lnx + -1lnx = 9

Combine like terms: -3ln + 5ln = 2ln
2ln + 2lnx + -1lnx = 9

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

Solving
2ln + 1lnx = 9

Solving for variable 'l'.

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

Reorder the terms:
-9 + 2ln + 1lnx = 9 + -9

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

The solution to this equation could not be determined.

See similar equations:

| 3(q-2)+2=8q-7-2q | | Xln(2x-3)-ln(x-5)=9 | | 5(t+1)=-15 | | (s+3)*(s+2)*(s+4)=0 | | 3(4s+1)=51 | | a^6-64= | | 4(2l+4)=64 | | =(3x-2)(2x-5) | | 3(a-6)=27 | | r^2+5r= | | 10(u+5)=100 | | 5(q-10)=50 | | 3y+x-2+4x+10=180 | | 2(e+2)=12 | | s^3+9*s^2+26*s+24=0 | | 20t^2-4t^4= | | 10z+12=8z | | 15x-15=x+9 | | 3log=1.5 | | 4w^2+25w+36= | | s(s+7)(s+9)(s+10)(s+15)=0 | | (u-6)(u+4)=-21 | | 32-98n^2=0 | | 6c+4=-3c-14 | | 900=5[x+(x+14)] | | 20(s+2)(s+3)(s+6)(s+8)=0 | | -30=-2x-15 | | C^2+4-45= | | 8x+4y=180 | | x/4-=8 | | 0.9354=638*X+1.087 | | 900=5[x(x+14)] |

Equations solver categories