6x+ln(3x)=ln(19)

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Solution for 6x+ln(3x)=ln(19) equation:


Simplifying
6x + ln(3x) = ln(19)

Remove parenthesis around (3x)
6x + ln * 3x = ln(19)

Reorder the terms for easier multiplication:
6x + 3ln * x = ln(19)

Multiply ln * x
6x + 3lnx = ln(19)

Reorder the terms:
3lnx + 6x = ln(19)

Reorder the terms for easier multiplication:
3lnx + 6x = 19ln

Solving
3lnx + 6x = 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.
3lnx + -19ln + 6x = 19ln + -19ln

Reorder the terms:
-19ln + 3lnx + 6x = 19ln + -19ln

Combine like terms: 19ln + -19ln = 0
-19ln + 3lnx + 6x = 0

Add '-6x' to each side of the equation.
-19ln + 3lnx + 6x + -6x = 0 + -6x

Combine like terms: 6x + -6x = 0
-19ln + 3lnx + 0 = 0 + -6x
-19ln + 3lnx = 0 + -6x
Remove the zero:
-19ln + 3lnx = -6x

Combine like terms: -6x + 6x = 0
-19ln + 3lnx + 6x = 0

The solution to this equation could not be determined.

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