3ln(4x)+2ln(x)=1.5

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Solution for 3ln(4x)+2ln(x)=1.5 equation:


Simplifying
3ln(4x) + 2ln(x) = 1.5

Remove parenthesis around (4x)
3ln * 4x + 2ln(x) = 1.5

Reorder the terms for easier multiplication:
3 * 4ln * x + 2ln(x) = 1.5

Multiply 3 * 4
12ln * x + 2ln(x) = 1.5

Multiply ln * x
12lnx + 2ln(x) = 1.5

Multiply ln * x
12lnx + 2lnx = 1.5

Combine like terms: 12lnx + 2lnx = 14lnx
14lnx = 1.5

Solving
14lnx = 1.5

Solving for variable 'l'.

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

Divide each side by '14nx'.
l = 0.1071428571n-1x-1

Simplifying
l = 0.1071428571n-1x-1

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