ln(5x)=2ln(x)

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


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

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

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

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

Multiply ln * x
5lnx = 2lnx

Solving
5lnx = 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
5lnx + -2lnx = 2lnx + -2lnx

Combine like terms: 5lnx + -2lnx = 3lnx
3lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 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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