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

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


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

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

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

Multiply 2 * 3
6ln * x = 3 + ln(2x)

Multiply ln * x
6lnx = 3 + ln(2x)

Remove parenthesis around (2x)
6lnx = 3 + ln * 2x

Reorder the terms for easier multiplication:
6lnx = 3 + 2ln * x

Multiply ln * x
6lnx = 3 + 2lnx

Solving
6lnx = 3 + 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
6lnx + -2lnx = 3 + 2lnx + -2lnx

Combine like terms: 6lnx + -2lnx = 4lnx
4lnx = 3 + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
4lnx = 3 + 0
4lnx = 3

Divide each side by '4nx'.
l = 0.75n-1x-1

Simplifying
l = 0.75n-1x-1

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