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

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


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

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

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

Reorder the terms for easier multiplication:
-5ln + lnx = 4ln + lnx + -1 * 2ln

Multiply -1 * 2
-5ln + lnx = 4ln + lnx + -2ln

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

Combine like terms: 4ln + -2ln = 2ln
-5ln + lnx = 2ln + lnx

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

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

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

Solving
-5ln = 2ln

Solving for variable 'l'.

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

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

Combine like terms: -5ln + -2ln = -7ln
-7ln = 2ln + -2ln

Combine like terms: 2ln + -2ln = 0
-7ln = 0

Divide each side by '-7'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

See similar equations:

| y+4(-1-2y)=12 | | 10+b/6=4 | | 6(3x-8)=41 | | d/3+7=12 | | b/6-9=-14 | | w+2h+2l=p | | w+2h+sl=p | | 15+z/14=13 | | y/4+13=8 | | 5.2q-4.6-7.1q=0.9q-4.6 | | k/7-9=1 | | 5+h/10=8 | | v/7-8=-1 | | t/8+9=3 | | x-56=604 | | p/3+5=-2 | | 16+m/6=14 | | x/2-7=3 | | 3x^2+5x-11=0 | | 7+z/2=-13 | | b/6+2=-4 | | 4+y/3=7 | | 3(3n+2)+7n=39+6n | | 5-1x=-2x-11 | | 6x^2-24x-6=0 | | 18-9x=-18 | | 16y^2=36 | | 20=32-3x | | x^2+(x+7)=65 | | 14=8+3x | | 5x-2-2x=3(x-2) | | 1-2a=-(-4+3a) |

Equations solver categories