2ln(x)-ln(2x-1)=3

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Solution for 2ln(x)-ln(2x-1)=3 equation:


Simplifying
2ln(x) + -1ln(2x + -1) = 3

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

Reorder the terms:
2lnx + -1ln(-1 + 2x) = 3
2lnx + (-1 * -1ln + 2x * -1ln) = 3
2lnx + (1ln + -2lnx) = 3

Reorder the terms:
1ln + 2lnx + -2lnx = 3

Combine like terms: 2lnx + -2lnx = 0
1ln + 0 = 3
1ln = 3

Solving
1ln = 3

Solving for variable 'l'.

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

Divide each side by '1n'.
l = 3n-1

Simplifying
l = 3n-1

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