ln(2x+x)=2-lnx

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Solution for ln(2x+x)=2-lnx equation:


Simplifying
ln(2x + x) = 2 + -1lnx

Combine like terms: 2x + x = 3x
ln(3x) = 2 + -1lnx

Remove parenthesis around (3x)
ln * 3x = 2 + -1lnx

Reorder the terms for easier multiplication:
3ln * x = 2 + -1lnx

Multiply ln * x
3lnx = 2 + -1lnx

Solving
3lnx = 2 + -1lnx

Solving for variable 'l'.

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

Add 'lnx' to each side of the equation.
3lnx + lnx = 2 + -1lnx + lnx

Combine like terms: 3lnx + lnx = 4lnx
4lnx = 2 + -1lnx + lnx

Combine like terms: -1lnx + lnx = 0
4lnx = 2 + 0
4lnx = 2

Divide each side by '4nx'.
l = 0.5n-1x-1

Simplifying
l = 0.5n-1x-1

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