ln(36)-ln(x-5)=ln(x)

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Solution for ln(36)-ln(x-5)=ln(x) equation: 


Simplifying
ln(36) + -1ln(x + -5) = ln(x)

Reorder the terms for easier multiplication:
36ln + -1ln(x + -5) = ln(x)

Reorder the terms:
36ln + -1ln(-5 + x) = ln(x)
36ln + (-5 * -1ln + x * -1ln) = ln(x)
36ln + (5ln + -1lnx) = ln(x)

Combine like terms: 36ln + 5ln = 41ln
41ln + -1lnx = ln(x)

Multiply ln * x
41ln + -1lnx = lnx

Solving
41ln + -1lnx = 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.
41ln + -1lnx + -1lnx = lnx + -1lnx

Combine like terms: -1lnx + -1lnx = -2lnx
41ln + -2lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
41ln + -2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(41 + -2x) = 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 '(41 + -2x)' equal to zero and attempt to solve:

Simplifying
41 + -2x = 0

Solving
41 + -2x = 0

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

Add '-41' to each side of the equation.
41 + -41 + -2x = 0 + -41

Combine like terms: 41 + -41 = 0
0 + -2x = 0 + -41
-2x = 0 + -41

Combine like terms: 0 + -41 = -41
-2x = -41

Add '2x' to each side of the equation.
-2x + 2x = -41 + 2x

Combine like terms: -2x + 2x = 0
0 = -41 + 2x

Simplifying
0 = -41 + 2x

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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