Ln*(x-4)+ln*(x-7)=ln*18

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Solution for Ln*(x-4)+ln*(x-7)=ln*18 equation: 


Simplifying
Ln(x + -4) + ln(x + -7) = ln * 18

Reorder the terms:
nL(-4 + x) + ln(x + -7) = ln * 18
(-4 * nL + x * nL) + ln(x + -7) = ln * 18
(-4nL + nxL) + ln(x + -7) = ln * 18

Reorder the terms:
-4nL + nxL + ln(-7 + x) = ln * 18
-4nL + nxL + (-7 * ln + x * ln) = ln * 18
-4nL + nxL + (-7ln + lnx) = ln * 18

Reorder the terms:
-7ln + lnx + -4nL + nxL = ln * 18

Reorder the terms for easier multiplication:
-7ln + lnx + -4nL + nxL = 18ln

Solving
-7ln + lnx + -4nL + nxL = 18ln

Solving for variable 'l'.

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

Add '-18ln' to each side of the equation.
-7ln + lnx + -4nL + -18ln + nxL = 18ln + -18ln

Reorder the terms:
-7ln + -18ln + lnx + -4nL + nxL = 18ln + -18ln

Combine like terms: -7ln + -18ln = -25ln
-25ln + lnx + -4nL + nxL = 18ln + -18ln

Combine like terms: 18ln + -18ln = 0
-25ln + lnx + -4nL + nxL = 0

Add '4nL' to each side of the equation.
-25ln + lnx + -4nL + 4nL + nxL = 0 + 4nL

Combine like terms: -4nL + 4nL = 0
-25ln + lnx + 0 + nxL = 0 + 4nL
-25ln + lnx + nxL = 0 + 4nL
Remove the zero:
-25ln + lnx + nxL = 4nL

Add '-1nxL' to each side of the equation.
-25ln + lnx + nxL + -1nxL = 4nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-25ln + lnx + 0 = 4nL + -1nxL
-25ln + lnx = 4nL + -1nxL

Reorder the terms:
-25ln + lnx + -4nL + nxL = 4nL + -4nL + -1nxL + nxL

Combine like terms: 4nL + -4nL = 0
-25ln + lnx + -4nL + nxL = 0 + -1nxL + nxL
-25ln + lnx + -4nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-25ln + lnx + -4nL + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-25l + lx + -4L + 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 '(-25l + lx + -4L + xL)' equal to zero and attempt to solve:

Simplifying
-25l + lx + -4L + xL = 0

Reorder the terms:
-4L + -25l + lx + xL = 0

Solving
-4L + -25l + lx + xL = 0

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

Add '4L' to each side of the equation.
-4L + -25l + lx + 4L + xL = 0 + 4L

Reorder the terms:
-4L + 4L + -25l + lx + xL = 0 + 4L

Combine like terms: -4L + 4L = 0
0 + -25l + lx + xL = 0 + 4L
-25l + lx + xL = 0 + 4L
Remove the zero:
-25l + lx + xL = 4L

Add '-1xL' to each side of the equation.
-25l + lx + xL + -1xL = 4L + -1xL

Combine like terms: xL + -1xL = 0
-25l + lx + 0 = 4L + -1xL
-25l + lx = 4L + -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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