ln(x^2)+ln(16x)-2ln(2x)=3

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Solution for ln(x^2)+ln(16x)-2ln(2x)=3 equation:


Simplifying
ln(x2) + ln(16x) + -2ln(2x) = 3

Multiply ln * x2
lnx2 + ln(16x) + -2ln(2x) = 3

Remove parenthesis around (16x)
lnx2 + ln * 16x + -2ln(2x) = 3

Reorder the terms for easier multiplication:
lnx2 + 16ln * x + -2ln(2x) = 3

Multiply ln * x
lnx2 + 16lnx + -2ln(2x) = 3

Remove parenthesis around (2x)
lnx2 + 16lnx + -2ln * 2x = 3

Reorder the terms for easier multiplication:
lnx2 + 16lnx + -2 * 2ln * x = 3

Multiply -2 * 2
lnx2 + 16lnx + -4ln * x = 3

Multiply ln * x
lnx2 + 16lnx + -4lnx = 3

Reorder the terms:
16lnx + -4lnx + lnx2 = 3

Combine like terms: 16lnx + -4lnx = 12lnx
12lnx + lnx2 = 3

Solving
12lnx + lnx2 = 3

Solving for variable 'l'.

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

Reorder the terms:
-3 + 12lnx + lnx2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 12lnx + lnx2 = 0

The solution to this equation could not be determined.

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