f(x)=1+ln(1+ln(1+ln(1+x)))

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Solution for f(x)=1+ln(1+ln(1+ln(1+x))) equation: 


Simplifying
f(x) = 1 + ln(1 + ln(1 + ln(1 + x)))

Multiply f * x
fx = 1 + ln(1 + ln(1 + ln(1 + x)))
fx = 1 + ln(1 + ln(1 + (1 * ln + x * ln)))
fx = 1 + ln(1 + ln(1 + (1ln + lnx)))
fx = 1 + ln(1 + (1 * ln + 1ln * ln + lnx * ln))
fx = 1 + ln(1 + (1ln + 1l2n2 + l2n2x))
fx = 1 + (1 * ln + 1ln * ln + 1l2n2 * ln + l2n2x * ln)
fx = 1 + (1ln + 1l2n2 + 1l3n3 + l3n3x)

Solving
fx = 1 + 1ln + 1l2n2 + 1l3n3 + l3n3x

Solving for variable 'f'.

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

Divide each side by 'x'.
f = x-1 + lnx-1 + l2n2x-1 + l3n3x-1 + l3n3

Simplifying
f = x-1 + lnx-1 + l2n2x-1 + l3n3x-1 + l3n3

Reorder the terms:
f = lnx-1 + l2n2x-1 + l3n3 + l3n3x-1 + x-1

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