ln(13x)=2ln(4x)

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Solution for ln(13x)=2ln(4x) equation:


Simplifying
ln(13x) = 2ln(4x)

Remove parenthesis around (13x)
ln * 13x = 2ln(4x)

Reorder the terms for easier multiplication:
13ln * x = 2ln(4x)

Multiply ln * x
13lnx = 2ln(4x)

Remove parenthesis around (4x)
13lnx = 2ln * 4x

Reorder the terms for easier multiplication:
13lnx = 2 * 4ln * x

Multiply 2 * 4
13lnx = 8ln * x

Multiply ln * x
13lnx = 8lnx

Solving
13lnx = 8lnx

Solving for variable 'l'.

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

Add '-8lnx' to each side of the equation.
13lnx + -8lnx = 8lnx + -8lnx

Combine like terms: 13lnx + -8lnx = 5lnx
5lnx = 8lnx + -8lnx

Combine like terms: 8lnx + -8lnx = 0
5lnx = 0

Divide each side by '5'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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