3*ln(2*x)+ln(x)=1.5

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Solution for 3*ln(2*x)+ln(x)=1.5 equation: 


Simplifying
3ln(2x) + ln(x) = 1.5

Remove parenthesis around (2x)
3ln * 2x + ln(x) = 1.5

Reorder the terms for easier multiplication:
3 * 2ln * x + ln(x) = 1.5

Multiply 3 * 2
6ln * x + ln(x) = 1.5

Multiply ln * x
6lnx + ln(x) = 1.5

Multiply ln * x
6lnx + lnx = 1.5

Combine like terms: 6lnx + lnx = 7lnx
7lnx = 1.5

Solving
7lnx = 1.5

Solving for variable 'l'.

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

Divide each side by '7nx'.
l = 0.2142857143n-1x-1

Simplifying
l = 0.2142857143n-1x-1

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