ln(x-4)-ln(x-5)=2

Simple and best practice solution for ln(x-4)-ln(x-5)=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-4)-ln(x-5)=2 equation:


Simplifying
ln(x + -4) + -1ln(x + -5) = 2

Reorder the terms:
ln(-4 + x) + -1ln(x + -5) = 2
(-4 * ln + x * ln) + -1ln(x + -5) = 2
(-4ln + lnx) + -1ln(x + -5) = 2

Reorder the terms:
-4ln + lnx + -1ln(-5 + x) = 2
-4ln + lnx + (-5 * -1ln + x * -1ln) = 2
-4ln + lnx + (5ln + -1lnx) = 2

Reorder the terms:
-4ln + 5ln + lnx + -1lnx = 2

Combine like terms: -4ln + 5ln = 1ln
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:

| 3(1+7v)=45 | | 3x-2+5x+1= | | 24y-12*(7+y)=16-8y | | -4(1+5x)=-64 | | (1-7i)2= | | 3x^4-3x^2+28=0 | | 40=-8(8-4p)-6p | | 2(5x+4)=18 | | 5x+12-2x=55 | | 60-3x=10x-21 | | 17*(5+x)-20x=8x-14 | | n(n+5)=414 | | 7.6x-2.3x=-159 | | n+18=34 | | 3(10p+4)=72 | | 5-1=4x | | 9k^2+30kn+25n^2=0 | | X+(x+1)+(x+2)=-129 | | 3x+5y=510 | | 3x-21x+36=0 | | b^2+3b+5=35 | | (x-9)(x+11)= | | 2v^2-v+5=0 | | -7x-13x=100 | | (180-2x)+2x=180 | | 6x+12x=90 | | -1-8i-4-i= | | 4+1.2x=12.4 | | 4x+14=-10 | | .6x+2=8 | | 6x+21=11x-3 | | 5x+3+3x-24=35+x |

Equations solver categories