f(x)=(x+2+2+1)*ln(sqr(x+2+6))

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Solution for f(x)=(x+2+2+1)*ln(sqr(x+2+6)) equation:


Simplifying
f(x) = (x + 2 + 2 + 1) * ln(sqr(x + 2 + 6))

Multiply f * x
fx = (x + 2 + 2 + 1) * ln(sqr(x + 2 + 6))

Reorder the terms:
fx = (2 + 2 + 1 + x) * ln(sqr(x + 2 + 6))

Combine like terms: 2 + 2 = 4
fx = (4 + 1 + x) * ln(sqr(x + 2 + 6))

Combine like terms: 4 + 1 = 5
fx = (5 + x) * ln(sqr(x + 2 + 6))

Reorder the terms:
fx = (5 + x) * ln(qrs(2 + 6 + x))

Combine like terms: 2 + 6 = 8
fx = (5 + x) * ln(qrs(8 + x))
fx = (5 + x) * ln((8 * qrs + x * qrs))
fx = (5 + x) * ln((8qrs + qrsx))

Reorder the terms for easier multiplication:
fx = ln(5 + x)(8qrs + qrsx)

Multiply (5 + x) * (8qrs + qrsx)
fx = ln(5(8qrs + qrsx) + x(8qrs + qrsx))
fx = ln((8qrs * 5 + qrsx * 5) + x(8qrs + qrsx))
fx = ln((40qrs + 5qrsx) + x(8qrs + qrsx))
fx = ln(40qrs + 5qrsx + (8qrs * x + qrsx * x))
fx = ln(40qrs + 5qrsx + (8qrsx + qrsx2))

Combine like terms: 5qrsx + 8qrsx = 13qrsx
fx = ln(40qrs + 13qrsx + qrsx2)
fx = (40qrs * ln + 13qrsx * ln + qrsx2 * ln)
fx = (40lnqrs + 13lnqrsx + lnqrsx2)

Solving
fx = 40lnqrs + 13lnqrsx + lnqrsx2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 40lnqrsx-1 + 13lnqrs + lnqrsx

Simplifying
f = 40lnqrsx-1 + 13lnqrs + lnqrsx

Reorder the terms:
f = 13lnqrs + 40lnqrsx-1 + lnqrsx

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