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

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


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

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

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

Reorder the terms:
4ln + -2ln + lnx + -1lnx = lnx

Combine like terms: 4ln + -2ln = 2ln
2ln + lnx + -1lnx = lnx

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

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

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + x 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:

| 3x+76=8x-9 | | 17-6x=5-8x | | x^3*ln(x)=0 | | 8+7x=28+x | | 12x+2=3x+8 | | 1/z=(5/z)-1/2 | | 25x(x^2+3x)=2(2x+6) | | 29x-46y=-110 | | -24x+29y=6 | | 4x+28=2x+68 | | x*5+10=x*7-6 | | 3y+10=20-7y | | .356/m=7 | | 8x+32=4x+16 | | ln(1+x)+ln(1-x)=ln*3 | | 4(t+2)=8t-12 | | 1.5(x+8)=3.0+.6x | | 3n^2-29n-10=0 | | 9o-77=22 | | 7p-5q=73 | | 7v-6/4+v-3/2=15 | | 9k+2=3k+5 | | 8p-4q=68 | | 3s+2j=225 | | Y=9X-81 | | -0.6x^2-2.4x+7.2= | | 5z-5=11+7z | | 6(2y-7)=5y | | 5x-19=-37+3x | | 4s+3j=320 | | 1a+2=6a-2(1+2.4a)+1.53 | | 15x^2-6x-21=0 |

Equations solver categories