y=3ln(5x+1)+ln(19x^2)-2ln(3x^4-12)

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Solution for y=3ln(5x+1)+ln(19x^2)-2ln(3x^4-12) equation: 


Simplifying
y = 3ln(5x + 1) + ln(19x2) + -2ln(3x4 + -12)

Reorder the terms:
y = 3ln(1 + 5x) + ln(19x2) + -2ln(3x4 + -12)
y = (1 * 3ln + 5x * 3ln) + ln(19x2) + -2ln(3x4 + -12)
y = (3ln + 15lnx) + ln(19x2) + -2ln(3x4 + -12)

Remove parenthesis around (19x2)
y = 3ln + 15lnx + ln * 19x2 + -2ln(3x4 + -12)

Reorder the terms for easier multiplication:
y = 3ln + 15lnx + 19ln * x2 + -2ln(3x4 + -12)

Multiply ln * x2
y = 3ln + 15lnx + 19lnx2 + -2ln(3x4 + -12)

Reorder the terms:
y = 3ln + 15lnx + 19lnx2 + -2ln(-12 + 3x4)
y = 3ln + 15lnx + 19lnx2 + (-12 * -2ln + 3x4 * -2ln)
y = 3ln + 15lnx + 19lnx2 + (24ln + -6lnx4)

Reorder the terms:
y = 3ln + 24ln + 15lnx + 19lnx2 + -6lnx4

Combine like terms: 3ln + 24ln = 27ln
y = 27ln + 15lnx + 19lnx2 + -6lnx4

Solving
y = 27ln + 15lnx + 19lnx2 + -6lnx4

Solving for variable 'y'.

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

Simplifying
y = 27ln + 15lnx + 19lnx2 + -6lnx4

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