3*ln(2)+ln(x-5)=ln*120

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Solution for 3*ln(2)+ln(x-5)=ln*120 equation: 


Simplifying
3ln(2) + ln(x + -5) = ln * 120

Reorder the terms for easier multiplication:
3 * 2ln + ln(x + -5) = ln * 120

Multiply 3 * 2
6ln + ln(x + -5) = ln * 120

Reorder the terms:
6ln + ln(-5 + x) = ln * 120
6ln + (-5 * ln + x * ln) = ln * 120
6ln + (-5ln + lnx) = ln * 120

Combine like terms: 6ln + -5ln = 1ln
1ln + lnx = ln * 120

Reorder the terms for easier multiplication:
1ln + lnx = 120ln

Solving
1ln + lnx = 120ln

Solving for variable 'l'.

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

Add '-120ln' to each side of the equation.
1ln + -120ln + lnx = 120ln + -120ln

Combine like terms: 1ln + -120ln = -119ln
-119ln + lnx = 120ln + -120ln

Combine like terms: 120ln + -120ln = 0
-119ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-119 + 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 '(-119 + x)' equal to zero and attempt to solve:

Simplifying
-119 + x = 0

Solving
-119 + x = 0

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

Add '119' to each side of the equation.
-119 + 119 + x = 0 + 119

Combine like terms: -119 + 119 = 0
0 + x = 0 + 119
x = 0 + 119

Combine like terms: 0 + 119 = 119
x = 119

Add '-1x' to each side of the equation.
x + -1x = 119 + -1x

Combine like terms: x + -1x = 0
0 = 119 + -1x

Simplifying
0 = 119 + -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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