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

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


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

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

Multiply ln * x
-1ln + lnx + -1lnx = 2

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

Solving
-1ln = 2

Solving for variable 'l'.

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

Divide each side by '-1n'.
l = -2n-1

Simplifying
l = -2n-1

See similar equations:

| 12x^2+40x-32= | | (5v-8)(7-v)=0 | | 28x^2y^2-49x^2y=0 | | 24x-40xy=0 | | 18x+24y=0 | | (y-3)(y^2-2y+7)= | | 4y^2(y^2+3y)= | | 3(2x-5)+2x=-7-(8-7x)+x | | 8x^2+21x-9= | | 0.02(3-0.06)-0.04(0.06+2)=0.34 | | 1#3= | | 12.5=5x | | 0.02(3-x)-0.04(x+2)=0.34 | | d=-16t^2+472 | | 3y=8x-24 | | 7-z=-z | | 2y=10-5x | | x(x^2)= | | 3(2*9-4)=7(2*9-12) | | Y=24+8x | | x+y(x^2+6xy+y^2)= | | Y=8x+24 | | -3p^2-6p+72= | | y=6(-2)-12 | | 2(u+2)-8u=22 | | P=0.178(2050)-345.1 | | P=0.178(2040)-345.1 | | P=0.178(2030)-345.1 | | P=0.178(2020)-345.1 | | P=0.178(2010)-345.1 | | 3x^5-5x-4=0 | | (2x+-2)(x-5)= |

Equations solver categories