3ln(4x)+ln(5x)=7

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Solution for 3ln(4x)+ln(5x)=7 equation:


Simplifying
3ln(4x) + ln(5x) = 7

Remove parenthesis around (4x)
3ln * 4x + ln(5x) = 7

Reorder the terms for easier multiplication:
3 * 4ln * x + ln(5x) = 7

Multiply 3 * 4
12ln * x + ln(5x) = 7

Multiply ln * x
12lnx + ln(5x) = 7

Remove parenthesis around (5x)
12lnx + ln * 5x = 7

Reorder the terms for easier multiplication:
12lnx + 5ln * x = 7

Multiply ln * x
12lnx + 5lnx = 7

Combine like terms: 12lnx + 5lnx = 17lnx
17lnx = 7

Solving
17lnx = 7

Solving for variable 'l'.

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

Divide each side by '17nx'.
l = 0.4117647059n-1x-1

Simplifying
l = 0.4117647059n-1x-1

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