7ln(3x)+3ln(5x)=15

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Solution for 7ln(3x)+3ln(5x)=15 equation:


Simplifying
7ln(3x) + 3ln(5x) = 15

Remove parenthesis around (3x)
7ln * 3x + 3ln(5x) = 15

Reorder the terms for easier multiplication:
7 * 3ln * x + 3ln(5x) = 15

Multiply 7 * 3
21ln * x + 3ln(5x) = 15

Multiply ln * x
21lnx + 3ln(5x) = 15

Remove parenthesis around (5x)
21lnx + 3ln * 5x = 15

Reorder the terms for easier multiplication:
21lnx + 3 * 5ln * x = 15

Multiply 3 * 5
21lnx + 15ln * x = 15

Multiply ln * x
21lnx + 15lnx = 15

Combine like terms: 21lnx + 15lnx = 36lnx
36lnx = 15

Solving
36lnx = 15

Solving for variable 'l'.

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

Divide each side by '36nx'.
l = 0.4166666667n-1x-1

Simplifying
l = 0.4166666667n-1x-1

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