3ln(5x)-2ln(x)=7

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Solution for 3ln(5x)-2ln(x)=7 equation:


Simplifying
3ln(5x) + -2ln(x) = 7

Remove parenthesis around (5x)
3ln * 5x + -2ln(x) = 7

Reorder the terms for easier multiplication:
3 * 5ln * x + -2ln(x) = 7

Multiply 3 * 5
15ln * x + -2ln(x) = 7

Multiply ln * x
15lnx + -2ln(x) = 7

Multiply ln * x
15lnx + -2lnx = 7

Combine like terms: 15lnx + -2lnx = 13lnx
13lnx = 7

Solving
13lnx = 7

Solving for variable 'l'.

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

Divide each side by '13nx'.
l = 0.5384615385n-1x-1

Simplifying
l = 0.5384615385n-1x-1

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