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

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


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

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

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

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

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

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

Multiply 2 * 5
2lnx = 10ln * x

Multiply ln * x
2lnx = 10lnx

Solving
2lnx = 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.
2lnx + -10lnx = 10lnx + -10lnx

Combine like terms: 2lnx + -10lnx = -8lnx
-8lnx = 10lnx + -10lnx

Combine like terms: 10lnx + -10lnx = 0
-8lnx = 0

Divide each side by '-8'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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