Lnx+ln(x-2)=ln(15)

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Solution for Lnx+ln(x-2)=ln(15) equation: 


Simplifying
Lnx + ln(x + -2) = ln(15)

Reorder the terms:
nxL + ln(-2 + x) = ln(15)
nxL + (-2 * ln + x * ln) = ln(15)
nxL + (-2ln + lnx) = ln(15)

Reorder the terms:
-2ln + lnx + nxL = ln(15)

Reorder the terms for easier multiplication:
-2ln + lnx + nxL = 15ln

Solving
-2ln + lnx + nxL = 15ln

Solving for variable 'l'.

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

Add '-15ln' to each side of the equation.
-2ln + lnx + -15ln + nxL = 15ln + -15ln

Reorder the terms:
-2ln + -15ln + lnx + nxL = 15ln + -15ln

Combine like terms: -2ln + -15ln = -17ln
-17ln + lnx + nxL = 15ln + -15ln

Combine like terms: 15ln + -15ln = 0
-17ln + lnx + nxL = 0

Add '-1nxL' to each side of the equation.
-17ln + lnx + nxL + -1nxL = 0 + -1nxL

Combine like terms: nxL + -1nxL = 0
-17ln + lnx + 0 = 0 + -1nxL
-17ln + lnx = 0 + -1nxL
Remove the zero:
-17ln + lnx = -1nxL

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(-17l + lx + 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 '(-17l + lx + xL)' equal to zero and attempt to solve:

Simplifying
-17l + lx + xL = 0

Solving
-17l + lx + xL = 0

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

Add '-1xL' to each side of the equation.
-17l + lx + xL + -1xL = 0 + -1xL

Combine like terms: xL + -1xL = 0
-17l + lx + 0 = 0 + -1xL
-17l + lx = 0 + -1xL
Remove the zero:
-17l + lx = -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.

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