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

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Solution for ln(3x)=2*ln(6x) equation:


Simplifying
ln(3x) = 2ln(6x)

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

Reorder the terms for easier multiplication:
3ln * x = 2ln(6x)

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

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

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

Multiply 2 * 6
3lnx = 12ln * x

Multiply ln * x
3lnx = 12lnx

Solving
3lnx = 12lnx

Solving for variable 'l'.

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

Add '-12lnx' to each side of the equation.
3lnx + -12lnx = 12lnx + -12lnx

Combine like terms: 3lnx + -12lnx = -9lnx
-9lnx = 12lnx + -12lnx

Combine like terms: 12lnx + -12lnx = 0
-9lnx = 0

Divide each side by '-9'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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