ln(4)+ln(5x)=ln(18)

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Solution for ln(4)+ln(5x)=ln(18) equation: 


Simplifying
ln(4) + ln(5x) = ln(18)

Reorder the terms for easier multiplication:
4ln + ln(5x) = ln(18)

Remove parenthesis around (5x)
4ln + ln * 5x = ln(18)

Reorder the terms for easier multiplication:
4ln + 5ln * x = ln(18)

Multiply ln * x
4ln + 5lnx = ln(18)

Reorder the terms for easier multiplication:
4ln + 5lnx = 18ln

Solving
4ln + 5lnx = 18ln

Solving for variable 'l'.

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

Add '-18ln' to each side of the equation.
4ln + -18ln + 5lnx = 18ln + -18ln

Combine like terms: 4ln + -18ln = -14ln
-14ln + 5lnx = 18ln + -18ln

Combine like terms: 18ln + -18ln = 0
-14ln + 5lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-14 + 5x) = 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 '(-14 + 5x)' equal to zero and attempt to solve:

Simplifying
-14 + 5x = 0

Solving
-14 + 5x = 0

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

Add '14' to each side of the equation.
-14 + 14 + 5x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 0 + 14
5x = 0 + 14

Combine like terms: 0 + 14 = 14
5x = 14

Add '-5x' to each side of the equation.
5x + -5x = 14 + -5x

Combine like terms: 5x + -5x = 0
0 = 14 + -5x

Simplifying
0 = 14 + -5x

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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