Ln(x)-ln(x-2)=ln(7)

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


Simplifying
Ln(x) + -1ln(x + -2) = ln(7)

Multiply nL * x
nxL + -1ln(x + -2) = ln(7)

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

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

Reorder the terms for easier multiplication:
2ln + -1lnx + nxL = 7ln

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

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.
2ln + -1lnx + -7ln + nxL = 7ln + -7ln

Reorder the terms:
2ln + -7ln + -1lnx + nxL = 7ln + -7ln

Combine like terms: 2ln + -7ln = -5ln
-5ln + -1lnx + nxL = 7ln + -7ln

Combine like terms: 7ln + -7ln = 0
-5ln + -1lnx + nxL = 0

Add '-1nxL' to each side of the equation.
-5ln + -1lnx + nxL + -1nxL = 0 + -1nxL

Combine like terms: nxL + -1nxL = 0
-5ln + -1lnx + 0 = 0 + -1nxL
-5ln + -1lnx = 0 + -1nxL
Remove the zero:
-5ln + -1lnx = -1nxL

Combine like terms: -1nxL + nxL = 0
-5ln + -1lnx + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-5l + -1lx + xL) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

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 '(-5l + -1lx + xL)' equal to zero and attempt to solve:

Simplifying
-5l + -1lx + xL = 0

Solving
-5l + -1lx + xL = 0

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

Add '-1xL' to each side of the equation.
-5l + -1lx + xL + -1xL = 0 + -1xL

Combine like terms: xL + -1xL = 0
-5l + -1lx + 0 = 0 + -1xL
-5l + -1lx = 0 + -1xL
Remove the zero:
-5l + -1lx = -1xL

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:

| 4x-29=11 | | 1.07=(x^2)/91.47-x) | | 138=7+x+2x | | (4x+3)=(6x-7) | | X-80=57 | | w(w+5)-36=0 | | 2x+3[x-9]-2[x+3]=0 | | 2(2x-30)=-x+10 | | X-35=87 | | 2(2x-30)=-x+12 | | 3(x-5)-16=2(x-8)3 | | (5x-6)=(6x-13) | | 2x=10-8 | | -3x+8=-x+2 | | 20t=2t | | b(b+11)+18= | | 20+5*9= | | 5X^2-20x+20=o | | -2[-3-4x]=-10 | | 8w-2x=4w+7 | | 4x^2+16y^2-z^2=-16 | | -7-3u=3u+5 | | 4x^2+16y^2=-16 | | 0.2y+4=-1 | | 46x^4+92x^2+4=0 | | (3X^2+2X^2+15)-(-2X^3+2X-5)= | | a(a+17)=0 | | 10=-7k | | 4y+29=71 | | -2x+5-8x+3= | | (2n+16)+(5n+24)=180 | | 9p-18=-4p+12 |

Equations solver categories