y=ln(x-7)+ln(4x+3)

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Solution for y=ln(x-7)+ln(4x+3) equation: 


Simplifying
y = ln(x + -7) + ln(4x + 3)

Reorder the terms:
y = ln(-7 + x) + ln(4x + 3)
y = (-7 * ln + x * ln) + ln(4x + 3)
y = (-7ln + lnx) + ln(4x + 3)

Reorder the terms:
y = -7ln + lnx + ln(3 + 4x)
y = -7ln + lnx + (3 * ln + 4x * ln)
y = -7ln + lnx + (3ln + 4lnx)

Reorder the terms:
y = -7ln + 3ln + lnx + 4lnx

Combine like terms: -7ln + 3ln = -4ln
y = -4ln + lnx + 4lnx

Combine like terms: lnx + 4lnx = 5lnx
y = -4ln + 5lnx

Solving
y = -4ln + 5lnx

Solving for variable 'y'.

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

Simplifying
y = -4ln + 5lnx

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