ln(5x+10)=ln(19)

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Solution for ln(5x+10)=ln(19) equation: 


Simplifying
ln(5x + 10) = ln(19)

Reorder the terms:
ln(10 + 5x) = ln(19)
(10 * ln + 5x * ln) = ln(19)
(10ln + 5lnx) = ln(19)

Reorder the terms for easier multiplication:
10ln + 5lnx = 19ln

Solving
10ln + 5lnx = 19ln

Solving for variable 'l'.

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

Add '-19ln' to each side of the equation.
10ln + -19ln + 5lnx = 19ln + -19ln

Combine like terms: 10ln + -19ln = -9ln
-9ln + 5lnx = 19ln + -19ln

Combine like terms: 19ln + -19ln = 0
-9ln + 5lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-9 + 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 '(-9 + 5x)' equal to zero and attempt to solve:

Simplifying
-9 + 5x = 0

Solving
-9 + 5x = 0

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

Add '9' to each side of the equation.
-9 + 9 + 5x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 0 + 9
5x = 0 + 9

Combine like terms: 0 + 9 = 9
5x = 9

Add '-5x' to each side of the equation.
5x + -5x = 9 + -5x

Combine like terms: 5x + -5x = 0
0 = 9 + -5x

Simplifying
0 = 9 + -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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