ln(5x)-2ln(4x)=3

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Solution for ln(5x)-2ln(4x)=3 equation:


Simplifying
ln(5x) + -2ln(4x) = 3

Remove parenthesis around (5x)
ln * 5x + -2ln(4x) = 3

Reorder the terms for easier multiplication:
5ln * x + -2ln(4x) = 3

Multiply ln * x
5lnx + -2ln(4x) = 3

Remove parenthesis around (4x)
5lnx + -2ln * 4x = 3

Reorder the terms for easier multiplication:
5lnx + -2 * 4ln * x = 3

Multiply -2 * 4
5lnx + -8ln * x = 3

Multiply ln * x
5lnx + -8lnx = 3

Combine like terms: 5lnx + -8lnx = -3lnx
-3lnx = 3

Solving
-3lnx = 3

Solving for variable 'l'.

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

Divide each side by '-3nx'.
l = -1n-1x-1

Simplifying
l = -1n-1x-1

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