ln(5x)=2ln(8x)

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Solution for ln(5x)=2ln(8x) equation:


Simplifying
ln(5x) = 2ln(8x)

Remove parenthesis around (5x)
ln * 5x = 2ln(8x)

Reorder the terms for easier multiplication:
5ln * x = 2ln(8x)

Multiply ln * x
5lnx = 2ln(8x)

Remove parenthesis around (8x)
5lnx = 2ln * 8x

Reorder the terms for easier multiplication:
5lnx = 2 * 8ln * x

Multiply 2 * 8
5lnx = 16ln * x

Multiply ln * x
5lnx = 16lnx

Solving
5lnx = 16lnx

Solving for variable 'l'.

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

Add '-16lnx' to each side of the equation.
5lnx + -16lnx = 16lnx + -16lnx

Combine like terms: 5lnx + -16lnx = -11lnx
-11lnx = 16lnx + -16lnx

Combine like terms: 16lnx + -16lnx = 0
-11lnx = 0

Divide each side by '-11'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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