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

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


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

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

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

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

Combine like terms: 5ln + 2ln = 7ln
7ln + lnx + -1lnx = ln(x)

Combine like terms: lnx + -1lnx = 0
7ln + 0 = ln(x)
7ln = ln(x)

Multiply ln * x
7ln = lnx

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

Combine like terms: lnx + -1lnx = 0
7ln + -1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(7 + -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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Add 'x' to each side of the equation.
-1x + x = -7 + x

Combine like terms: -1x + x = 0
0 = -7 + x

Simplifying
0 = -7 + 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-2)+(2x-5)= | | X=5/3.785 | | 14=b+(x-3) | | lnx=-1/8 | | 5w+5-2(-3w-3)=2(w-2) | | 3=18-5/4 | | 2x^2-125x+3000=0 | | 1.38/3.785=5/x | | 25w+30=225 | | 3x-2=7+5x | | J-4.44=2.4 | | 25w=30 | | -3(5w-3)+7w=9+2(3w-3) | | 12/15=21/x | | Log(x+1)=log(x) | | 12x^2+66x+72= | | 1/6t=1/2 | | (2xy^3/x^4y)^-2 | | ?(20)+x=0 | | s=x(40-2x) | | 6(w-7)-5=-4(-6w+8)-6w | | -3x^2-4=-31 | | 4(x-5)-12=x+3 | | 2x^2+1=4x-8 | | 2x^2=4x-8 | | 2/5a=10 | | 18=5(x-2)-12 | | 4q-3=14 | | (2X+1)2=(X-1)2+3x(X+2) | | 28=6.00+a(60.0) | | (1/8)^x | | log1/x |

Equations solver categories