ln(y-8)=ln(y)-ln(5)

Simple and best practice solution for ln(y-8)=ln(y)-ln(5) 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(y-8)=ln(y)-ln(5) equation:


Simplifying
ln(y + -8) = ln(y) + -1ln(5)

Reorder the terms:
ln(-8 + y) = ln(y) + -1ln(5)
(-8 * ln + y * ln) = ln(y) + -1ln(5)
(-8ln + lny) = ln(y) + -1ln(5)

Multiply ln * y
-8ln + lny = lny + -1ln(5)

Reorder the terms for easier multiplication:
-8ln + lny = lny + -1 * 5ln

Multiply -1 * 5
-8ln + lny = lny + -5ln

Reorder the terms:
-8ln + lny = -5ln + lny

Add '-1lny' to each side of the equation.
-8ln + lny + -1lny = -5ln + lny + -1lny

Combine like terms: lny + -1lny = 0
-8ln + 0 = -5ln + lny + -1lny
-8ln = -5ln + lny + -1lny

Combine like terms: lny + -1lny = 0
-8ln = -5ln + 0
-8ln = -5ln

Solving
-8ln = -5ln

Solving for variable 'l'.

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

Add '5ln' to each side of the equation.
-8ln + 5ln = -5ln + 5ln

Combine like terms: -8ln + 5ln = -3ln
-3ln = -5ln + 5ln

Combine like terms: -5ln + 5ln = 0
-3ln = 0

Divide each side by '-3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

See similar equations:

| 8(4+0.2x)=45 | | x(2x^2+9x+7)=0 | | -3=6X+9 | | 1-3k=-5 | | 29.58=6g+3.84 | | (8+15i)(11+i)=0 | | 30=5(2x-3) | | x+5+4x-69=45 | | 1092.8=1200 | | x(x^2+9x+7)=0 | | y+3=.75(x-4) | | 5x+2-6x-10=39 | | 12.90=2g+3.54 | | 795/1000 | | 2x-1/5=4 | | 4-5x=23-4x | | 2x1/5=4 | | y=3=1/4(x-4) | | 14/-3=4.2 | | -8z+12=12 | | 72=-4B | | -14p=-28 | | y-10=.5(x-2) | | 169=8x^2 | | 3.2b+6.15=-11.9b+15.4b+8.46 | | 4(1+3b)=2(b-2) | | n/4=-10 | | 16t=64 | | 33+c=78 | | -13=5(1+5x)-2x | | 130=7x+3(3x-10) | | 9s+5=1(s+4) |

Equations solver categories