ln(x+12)+ln(x+5)=ln(x)

Simple and best practice solution for ln(x+12)+ln(x+5)=ln(x) 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+12)+ln(x+5)=ln(x) equation:


Simplifying
ln(x + 12) + ln(x + 5) = ln(x)

Reorder the terms:
ln(12 + x) + ln(x + 5) = ln(x)
(12 * ln + x * ln) + ln(x + 5) = ln(x)
(12ln + lnx) + ln(x + 5) = ln(x)

Reorder the terms:
12ln + lnx + ln(5 + x) = ln(x)
12ln + lnx + (5 * ln + x * ln) = ln(x)
12ln + lnx + (5ln + lnx) = ln(x)

Reorder the terms:
12ln + 5ln + lnx + lnx = ln(x)

Combine like terms: 12ln + 5ln = 17ln
17ln + lnx + lnx = ln(x)

Combine like terms: lnx + lnx = 2lnx
17ln + 2lnx = ln(x)

Multiply ln * x
17ln + 2lnx = lnx

Solving
17ln + 2lnx = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
17ln + 2lnx + -1lnx = lnx + -1lnx

Combine like terms: 2lnx + -1lnx = 1lnx
17ln + 1lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
17ln + 1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(17 + x) = 0

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Add '-1x' to each side of the equation. x + -1x = -17 + -1x Combine like terms: x + -1x = 0 0 = -17 + -1x Simplifying 0 = -17 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| -3v+5(v-4)=-8 | | 0.7x-0.02y=5.36 | | -15t^2+128t+144=0 | | 0.5x+0.25y=7 | | 2(12t+bt+75)= | | 24t+(2b)t+150= | | (X-11)+(x-5)+(x-6)=41 | | 12x-4y=-22 | | 7(5x-4)+1=35x | | w^1/3=-5 | | x^2-74=0 | | 3x+10y=-33 | | 2x+10=-3x-10 | | l/7=9 | | 3l+6=18 | | 5k-7/4=3 | | 27=5w+4w | | 5(n+3)-8(3n+4)= | | 1/5x1/2x1/8 | | 6x+6=15x-10 | | -42=5y-7 | | 2w-3=3w+8 | | 4x^2-6x-1=10 | | (a^2b^2)^1/7 | | 10=5y-5 | | 140-20x=40+20x | | 54+14=-2a | | (6xy^2)(-8x+9y)= | | 140+20x=40-20x | | 3x+6y=-48 | | 107=-u+254 | | ✔9/16 |

Equations solver categories