ln(x+5)=2-lnx

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


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

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

Solving
5ln + lnx = 2 + -1lnx

Solving for variable 'l'.

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

Add 'lnx' to each side of the equation.
5ln + lnx + lnx = 2 + -1lnx + lnx

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

Combine like terms: -1lnx + lnx = 0
5ln + 2lnx = 2 + 0
5ln + 2lnx = 2

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

Combine like terms: 2 + -2 = 0
-2 + 5ln + 2lnx = 0

The solution to this equation could not be determined.

See similar equations:

| -9=7x+5 | | 9+14=8(9+7) | | x+4=0.5(x-3) | | 9+14=(9+7) | | -3x+6(5x-2)=-12 | | 11=3x-(3-5x) | | -5x-5x=92-2 | | X-7=3x-53 | | yx+4=0.5(x-3) | | 5x^2-8x-21=0 | | 6x+10-5x=11 | | 2(1+10a)+9a=-22+5a | | 19y=2(9y-4) | | -3(x-4)=6(x-1) | | 0.5x+16=0.25x+26 | | -(-3x+10)=-15x | | y+1.2=3.5 | | -7(2y+11)-2y=-13 | | 4x-1=7x+5 | | -12-(-3x+6)=-8+4x | | 71y=35(2y+2) | | x^6+5x^4-4x^2-20=0 | | -3/4=7 | | 2(8x+4)=-2x+14 | | 12x+8=20x-18 | | 2(x-9)+3x=6(x-1)-5 | | 12x+8=20-18 | | 6x-1=x+11 | | 3x+7=7x-9 | | -6x=19-(-5) | | -5(2x-3)=-8x+1 | | -3(3z-4)=5(1-2z) |

Equations solver categories