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

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


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

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

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

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

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

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

Multiply 2 * 2
7lnx = 4ln * x

Multiply ln * x
7lnx = 4lnx

Solving
7lnx = 4lnx

Solving for variable 'l'.

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

Add '-4lnx' to each side of the equation.
7lnx + -4lnx = 4lnx + -4lnx

Combine like terms: 7lnx + -4lnx = 3lnx
3lnx = 4lnx + -4lnx

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

Divide each side by '3'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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