ln(x+-3)+ln(x+2)=ln(x+-7)

Simple and best practice solution for ln(x+-3)+ln(x+2)=ln(x+-7) 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+-3)+ln(x+2)=ln(x+-7) equation:


Simplifying
ln(x + -3) + ln(x + 2) = ln(x + -7)

Reorder the terms:
ln(-3 + x) + ln(x + 2) = ln(x + -7)
(-3 * ln + x * ln) + ln(x + 2) = ln(x + -7)
(-3ln + lnx) + ln(x + 2) = ln(x + -7)

Reorder the terms:
-3ln + lnx + ln(2 + x) = ln(x + -7)
-3ln + lnx + (2 * ln + x * ln) = ln(x + -7)
-3ln + lnx + (2ln + lnx) = ln(x + -7)

Reorder the terms:
-3ln + 2ln + lnx + lnx = ln(x + -7)

Combine like terms: -3ln + 2ln = -1ln
-1ln + lnx + lnx = ln(x + -7)

Combine like terms: lnx + lnx = 2lnx
-1ln + 2lnx = ln(x + -7)

Reorder the terms:
-1ln + 2lnx = ln(-7 + x)
-1ln + 2lnx = (-7 * ln + x * ln)
-1ln + 2lnx = (-7ln + lnx)

Solving
-1ln + 2lnx = -7ln + lnx

Solving for variable 'l'.

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

Add '7ln' to each side of the equation.
-1ln + 7ln + 2lnx = -7ln + 7ln + lnx

Combine like terms: -1ln + 7ln = 6ln
6ln + 2lnx = -7ln + 7ln + lnx

Combine like terms: -7ln + 7ln = 0
6ln + 2lnx = 0 + lnx
6ln + 2lnx = lnx

Add '-1lnx' to each side of the equation.
6ln + 2lnx + -1lnx = lnx + -1lnx

Combine like terms: 2lnx + -1lnx = 1lnx
6ln + 1lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
6ln + 1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(6 + 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Add '-1x' to each side of the equation. x + -1x = -6 + -1x Combine like terms: x + -1x = 0 0 = -6 + -1x Simplifying 0 = -6 + -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:

| 1/5x+5h-1/5x | | -4m-13=5-m | | 6k+2=16+4k | | x+2=-68 | | 26=2x-14 | | (9i+11i)/10i | | Y-x=4x^2-8 | | -3-8x+7x=-3+5x | | 14=8z+6 | | log(7)16807=y | | 12m-71=25 | | 8p+4p+6=3p+7p | | 2x-x-3=5 | | 5b(b+4c)= | | x^2+0x+14=0 | | 247=-v+5(6v+3) | | 4y-9=27 | | 6(-1-6x)=246 | | 21/3=m/42 | | -343=-8(7-7a) | | 5(x-1)=5(4x-3) | | s^13t^8/s^2t | | 0=24x^2+28x-24 | | 3n+1=4n-2 | | -5(1-5x)+5x(-8x-2)=-4x-8x | | 24/15=20 | | 36=(6x+1)/(x-6) | | X^2-5x-36=4x | | X^3=-2x^2+8x | | (X+5)/4=-7 | | 16=(6x+1)/(x-1) | | X^2+3x+6=-2x |

Equations solver categories