100lnx-x=100

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Solution for 100lnx-x=100 equation: 


Simplifying
100lnx + -1x = 100

Solving
100lnx + -1x = 100

Solving for variable 'l'.

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

Add 'x' to each side of the equation.
100lnx + -1x + x = 100 + x

Combine like terms: -1x + x = 0
100lnx + 0 = 100 + x
100lnx = 100 + x

Divide each side by '100nx'.
l = n-1x-1 + 0.01n-1

Simplifying
l = n-1x-1 + 0.01n-1

Reorder the terms:
l = 0.01n-1 + n-1x-1

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