Ln(x+8)+ln(x)=ln(x+18)

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Solution for Ln(x+8)+ln(x)=ln(x+18) equation: 


Simplifying
Ln(x + 8) + ln(x) = ln(x + 18)

Reorder the terms:
nL(8 + x) + ln(x) = ln(x + 18)
(8 * nL + x * nL) + ln(x) = ln(x + 18)
(8nL + nxL) + ln(x) = ln(x + 18)

Multiply ln * x
8nL + nxL + lnx = ln(x + 18)

Reorder the terms:
lnx + 8nL + nxL = ln(x + 18)

Reorder the terms:
lnx + 8nL + nxL = ln(18 + x)
lnx + 8nL + nxL = (18 * ln + x * ln)
lnx + 8nL + nxL = (18ln + lnx)

Add '-1lnx' to each side of the equation.
lnx + 8nL + -1lnx + nxL = 18ln + lnx + -1lnx

Reorder the terms:
lnx + -1lnx + 8nL + nxL = 18ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
0 + 8nL + nxL = 18ln + lnx + -1lnx
8nL + nxL = 18ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
8nL + nxL = 18ln + 0
8nL + nxL = 18ln

Solving
8nL + nxL = 18ln

Solving for variable 'n'.

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

Add '-18ln' to each side of the equation.
8nL + -18ln + nxL = 18ln + -18ln

Reorder the terms:
-18ln + 8nL + nxL = 18ln + -18ln

Combine like terms: 18ln + -18ln = 0
-18ln + 8nL + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-18l + 8L + 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 n to the left, all other terms to the right.

Simplifying
n = 0

Subproblem 2
Set the factor '(-18l + 8L + xL)' equal to zero and attempt to solve:

Simplifying
-18l + 8L + xL = 0

Reorder the terms:
8L + -18l + xL = 0

Solving
8L + -18l + xL = 0

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

Add '-8L' to each side of the equation.
8L + -18l + -8L + xL = 0 + -8L

Reorder the terms:
8L + -8L + -18l + xL = 0 + -8L

Combine like terms: 8L + -8L = 0
0 + -18l + xL = 0 + -8L
-18l + xL = 0 + -8L
Remove the zero:
-18l + xL = -8L

Add '18l' to each side of the equation.
-18l + 18l + xL = -8L + 18l

Combine like terms: -18l + 18l = 0
0 + xL = -8L + 18l
xL = -8L + 18l

Add '-1xL' to each side of the equation.
xL + -1xL = -8L + 18l + -1xL

Combine like terms: xL + -1xL = 0
0 = -8L + 18l + -1xL

Simplifying
0 = -8L + 18l + -1xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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