log(10)(x+1)-log(10)(x-1)=1

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Solution for log(10)(x+1)-log(10)(x-1)=1 equation:


Simplifying
log(10)(x + 1) + -1log(10)(x + -1) = 1

Reorder the terms:
glo * 10(1 + x) + -1log(10)(x + -1) = 1

Reorder the terms for easier multiplication:
10glo(1 + x) + -1log(10)(x + -1) = 1
(1 * 10glo + x * 10glo) + -1log(10)(x + -1) = 1
(10glo + 10glox) + -1log(10)(x + -1) = 1

Reorder the terms:
10glo + 10glox + -1glo * 10(-1 + x) = 1

Reorder the terms for easier multiplication:
10glo + 10glox + -1 * 10glo(-1 + x) = 1

Multiply -1 * 10
10glo + 10glox + -10glo(-1 + x) = 1
10glo + 10glox + (-1 * -10glo + x * -10glo) = 1
10glo + 10glox + (10glo + -10glox) = 1

Reorder the terms:
10glo + 10glo + 10glox + -10glox = 1

Combine like terms: 10glo + 10glo = 20glo
20glo + 10glox + -10glox = 1

Combine like terms: 10glox + -10glox = 0
20glo + 0 = 1
20glo = 1

Solving
20glo = 1

Solving for variable 'g'.

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

Divide each side by '20lo'.
g = 0.05l-1o-1

Simplifying
g = 0.05l-1o-1

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