lob(50x)-log(x-1)=2

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Solution for lob(50x)-log(x-1)=2 equation:


Simplifying
lob(50x) + -1log(x + -1) = 2

Remove parenthesis around (50x)
blo * 50x + -1log(x + -1) = 2

Reorder the terms for easier multiplication:
50blo * x + -1log(x + -1) = 2

Multiply blo * x
50blox + -1log(x + -1) = 2

Reorder the terms:
50blox + -1glo(-1 + x) = 2
50blox + (-1 * -1glo + x * -1glo) = 2
50blox + (1glo + -1glox) = 2

Solving
50blox + 1glo + -1glox = 2

Solving for variable 'b'.

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

Add '-1glo' to each side of the equation.
50blox + 1glo + -1glo + -1glox = 2 + -1glo

Combine like terms: 1glo + -1glo = 0
50blox + 0 + -1glox = 2 + -1glo
50blox + -1glox = 2 + -1glo

Add 'glox' to each side of the equation.
50blox + -1glox + glox = 2 + -1glo + glox

Combine like terms: -1glox + glox = 0
50blox + 0 = 2 + -1glo + glox
50blox = 2 + -1glo + glox

Divide each side by '50lox'.
b = 0.04l-1o-1x-1 + -0.02gx-1 + 0.02g

Simplifying
b = 0.04l-1o-1x-1 + -0.02gx-1 + 0.02g

Reorder the terms:
b = 0.02g + -0.02gx-1 + 0.04l-1o-1x-1

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