n(3x)+ln(2x)=9

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Solution for n(3x)+ln(2x)=9 equation:


Simplifying
n(3x) + ln(2x) = 9

Remove parenthesis around (3x)
n * 3x + ln(2x) = 9

Reorder the terms for easier multiplication:
3n * x + ln(2x) = 9

Multiply n * x
3nx + ln(2x) = 9

Remove parenthesis around (2x)
3nx + ln * 2x = 9

Reorder the terms for easier multiplication:
3nx + 2ln * x = 9

Multiply ln * x
3nx + 2lnx = 9

Reorder the terms:
2lnx + 3nx = 9

Solving
2lnx + 3nx = 9

Solving for variable 'l'.

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

Add '-3nx' to each side of the equation.
2lnx + 3nx + -3nx = 9 + -3nx

Combine like terms: 3nx + -3nx = 0
2lnx + 0 = 9 + -3nx
2lnx = 9 + -3nx

Divide each side by '2nx'.
l = 4.5n-1x-1 + -1.5

Simplifying
l = 4.5n-1x-1 + -1.5

Reorder the terms:
l = -1.5 + 4.5n-1x-1

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