y=ln[(3x+4)(2x-9)]

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Solution for y=ln[(3x+4)(2x-9)] equation: 


Simplifying
y = ln[(3x + 4)(2x + -9)]

Reorder the terms:
y = ln[(4 + 3x)(2x + -9)]

Reorder the terms:
y = ln[(4 + 3x)(-9 + 2x)]

Multiply (4 + 3x) * (-9 + 2x)
y = ln[(4(-9 + 2x) + 3x * (-9 + 2x))]
y = ln[((-9 * 4 + 2x * 4) + 3x * (-9 + 2x))]
y = ln[((-36 + 8x) + 3x * (-9 + 2x))]
y = ln[(-36 + 8x + (-9 * 3x + 2x * 3x))]
y = ln[(-36 + 8x + (-27x + 6x2))]

Combine like terms: 8x + -27x = -19x
y = ln[(-36 + -19x + 6x2)]
y = [-36 * ln + -19x * ln + 6x2 * ln]
y = [-36ln + -19lnx + 6lnx2]

Solving
y = -36ln + -19lnx + 6lnx2

Solving for variable 'y'.

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

Simplifying
y = -36ln + -19lnx + 6lnx2

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