ln(5x)=2ln(9x)

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Solution for ln(5x)=2ln(9x) equation:


Simplifying
ln(5x) = 2ln(9x)

Remove parenthesis around (5x)
ln * 5x = 2ln(9x)

Reorder the terms for easier multiplication:
5ln * x = 2ln(9x)

Multiply ln * x
5lnx = 2ln(9x)

Remove parenthesis around (9x)
5lnx = 2ln * 9x

Reorder the terms for easier multiplication:
5lnx = 2 * 9ln * x

Multiply 2 * 9
5lnx = 18ln * x

Multiply ln * x
5lnx = 18lnx

Solving
5lnx = 18lnx

Solving for variable 'l'.

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

Add '-18lnx' to each side of the equation.
5lnx + -18lnx = 18lnx + -18lnx

Combine like terms: 5lnx + -18lnx = -13lnx
-13lnx = 18lnx + -18lnx

Combine like terms: 18lnx + -18lnx = 0
-13lnx = 0

Divide each side by '-13'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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