ln(2x)=2*ln(7x)

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


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

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

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

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

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

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

Multiply 2 * 7
2lnx = 14ln * x

Multiply ln * x
2lnx = 14lnx

Solving
2lnx = 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.
2lnx + -14lnx = 14lnx + -14lnx

Combine like terms: 2lnx + -14lnx = -12lnx
-12lnx = 14lnx + -14lnx

Combine like terms: 14lnx + -14lnx = 0
-12lnx = 0

Divide each side by '-12'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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