ln(3x)=2ln(7x)

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Solution for ln(3x)=2ln(7x) equation:


Simplifying
ln(3x) = 2ln(7x)

Remove parenthesis around (3x)
ln * 3x = 2ln(7x)

Reorder the terms for easier multiplication:
3ln * x = 2ln(7x)

Multiply ln * x
3lnx = 2ln(7x)

Remove parenthesis around (7x)
3lnx = 2ln * 7x

Reorder the terms for easier multiplication:
3lnx = 2 * 7ln * x

Multiply 2 * 7
3lnx = 14ln * x

Multiply ln * x
3lnx = 14lnx

Solving
3lnx = 14lnx

Solving for variable 'l'.

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

Add '-14lnx' to each side of the equation.
3lnx + -14lnx = 14lnx + -14lnx

Combine like terms: 3lnx + -14lnx = -11lnx
-11lnx = 14lnx + -14lnx

Combine like terms: 14lnx + -14lnx = 0
-11lnx = 0

Divide each side by '-11'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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