ln(x-8)=ln(5)

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Solution for ln(x-8)=ln(5) equation: 


Simplifying
ln(x + -8) = ln(5)

Reorder the terms:
ln(-8 + x) = ln(5)
(-8 * ln + x * ln) = ln(5)
(-8ln + lnx) = ln(5)

Reorder the terms for easier multiplication:
-8ln + lnx = 5ln

Solving
-8ln + lnx = 5ln

Solving for variable 'l'.

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

Add '-5ln' to each side of the equation.
-8ln + -5ln + lnx = 5ln + -5ln

Combine like terms: -8ln + -5ln = -13ln
-13ln + lnx = 5ln + -5ln

Combine like terms: 5ln + -5ln = 0
-13ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-13 + x) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

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 '(-13 + x)' equal to zero and attempt to solve:

Simplifying
-13 + x = 0

Solving
-13 + x = 0

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

Add '13' to each side of the equation.
-13 + 13 + x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + x = 0 + 13
x = 0 + 13

Combine like terms: 0 + 13 = 13
x = 13

Add '-1x' to each side of the equation.
x + -1x = 13 + -1x

Combine like terms: x + -1x = 0
0 = 13 + -1x

Simplifying
0 = 13 + -1x

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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