Ln(x-8)+ln(2)=ln(x)

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Solution for Ln(x-8)+ln(2)=ln(x) equation: 


Simplifying
Ln(x + -8) + ln(2) = ln(x)

Reorder the terms:
nL(-8 + x) + ln(2) = ln(x)
(-8 * nL + x * nL) + ln(2) = ln(x)
(-8nL + nxL) + ln(2) = ln(x)

Reorder the terms for easier multiplication:
-8nL + nxL + 2ln = ln(x)

Reorder the terms:
2ln + -8nL + nxL = ln(x)

Multiply ln * x
2ln + -8nL + nxL = lnx

Solving
2ln + -8nL + nxL = 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.
2ln + -8nL + -1lnx + nxL = lnx + -1lnx

Reorder the terms:
2ln + -1lnx + -8nL + nxL = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
2ln + -1lnx + -8nL + nxL = 0

Add '8nL' to each side of the equation.
2ln + -1lnx + -8nL + 8nL + nxL = 0 + 8nL

Combine like terms: -8nL + 8nL = 0
2ln + -1lnx + 0 + nxL = 0 + 8nL
2ln + -1lnx + nxL = 0 + 8nL
Remove the zero:
2ln + -1lnx + nxL = 8nL

Add '-1nxL' to each side of the equation.
2ln + -1lnx + nxL + -1nxL = 8nL + -1nxL

Combine like terms: nxL + -1nxL = 0
2ln + -1lnx + 0 = 8nL + -1nxL
2ln + -1lnx = 8nL + -1nxL

Reorder the terms:
2ln + -1lnx + -8nL + nxL = 8nL + -8nL + -1nxL + nxL

Combine like terms: 8nL + -8nL = 0
2ln + -1lnx + -8nL + nxL = 0 + -1nxL + nxL
2ln + -1lnx + -8nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
2ln + -1lnx + -8nL + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(2l + -1lx + -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 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 '(2l + -1lx + -8L + xL)' equal to zero and attempt to solve:

Simplifying
2l + -1lx + -8L + xL = 0

Reorder the terms:
-8L + 2l + -1lx + xL = 0

Solving
-8L + 2l + -1lx + xL = 0

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

Add '8L' to each side of the equation.
-8L + 2l + -1lx + 8L + xL = 0 + 8L

Reorder the terms:
-8L + 8L + 2l + -1lx + xL = 0 + 8L

Combine like terms: -8L + 8L = 0
0 + 2l + -1lx + xL = 0 + 8L
2l + -1lx + xL = 0 + 8L
Remove the zero:
2l + -1lx + xL = 8L

Add '-1xL' to each side of the equation.
2l + -1lx + xL + -1xL = 8L + -1xL

Combine like terms: xL + -1xL = 0
2l + -1lx + 0 = 8L + -1xL
2l + -1lx = 8L + -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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