ln(10)+ln(x)=ln(120)

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Solution for ln(10)+ln(x)=ln(120) equation: 


Simplifying
ln(10) + ln(x) = ln(120)

Reorder the terms for easier multiplication:
10ln + ln(x) = ln(120)

Multiply ln * x
10ln + lnx = ln(120)

Reorder the terms for easier multiplication:
10ln + lnx = 120ln

Solving
10ln + 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.
10ln + -120ln + lnx = 120ln + -120ln

Combine like terms: 10ln + -120ln = -110ln
-110ln + lnx = 120ln + -120ln

Combine like terms: 120ln + -120ln = 0
-110ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-110 + 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 '(-110 + x)' equal to zero and attempt to solve:

Simplifying
-110 + x = 0

Solving
-110 + x = 0

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

Add '110' to each side of the equation.
-110 + 110 + x = 0 + 110

Combine like terms: -110 + 110 = 0
0 + x = 0 + 110
x = 0 + 110

Combine like terms: 0 + 110 = 110
x = 110

Add '-1x' to each side of the equation.
x + -1x = 110 + -1x

Combine like terms: x + -1x = 0
0 = 110 + -1x

Simplifying
0 = 110 + -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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