ln(6x)=2ln(5x)

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Solution for ln(6x)=2ln(5x) equation:


Simplifying
ln(6x) = 2ln(5x)

Remove parenthesis around (6x)
ln * 6x = 2ln(5x)

Reorder the terms for easier multiplication:
6ln * x = 2ln(5x)

Multiply ln * x
6lnx = 2ln(5x)

Remove parenthesis around (5x)
6lnx = 2ln * 5x

Reorder the terms for easier multiplication:
6lnx = 2 * 5ln * x

Multiply 2 * 5
6lnx = 10ln * x

Multiply ln * x
6lnx = 10lnx

Solving
6lnx = 10lnx

Solving for variable 'l'.

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

Add '-10lnx' to each side of the equation.
6lnx + -10lnx = 10lnx + -10lnx

Combine like terms: 6lnx + -10lnx = -4lnx
-4lnx = 10lnx + -10lnx

Combine like terms: 10lnx + -10lnx = 0
-4lnx = 0

Divide each side by '-4'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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