f(x)=ln(x+9)+ln(x-2)

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Solution for f(x)=ln(x+9)+ln(x-2) equation: 


Simplifying
f(x) = ln(x + 9) + ln(x + -2)

Multiply f * x
fx = ln(x + 9) + ln(x + -2)

Reorder the terms:
fx = ln(9 + x) + ln(x + -2)
fx = (9 * ln + x * ln) + ln(x + -2)
fx = (9ln + lnx) + ln(x + -2)

Reorder the terms:
fx = 9ln + lnx + ln(-2 + x)
fx = 9ln + lnx + (-2 * ln + x * ln)
fx = 9ln + lnx + (-2ln + lnx)

Reorder the terms:
fx = 9ln + -2ln + lnx + lnx

Combine like terms: 9ln + -2ln = 7ln
fx = 7ln + lnx + lnx

Combine like terms: lnx + lnx = 2lnx
fx = 7ln + 2lnx

Solving
fx = 7ln + 2lnx

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 7lnx-1 + 2ln

Simplifying
f = 7lnx-1 + 2ln

Reorder the terms:
f = 2ln + 7lnx-1

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