log(10)(x+7)-log(10)(x-7)=1

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Solution for log(10)(x+7)-log(10)(x-7)=1 equation:


Simplifying
log(10)(x + 7) + -1log(10)(x + -7) = 1

Reorder the terms:
glo * 10(7 + x) + -1log(10)(x + -7) = 1

Reorder the terms for easier multiplication:
10glo(7 + x) + -1log(10)(x + -7) = 1
(7 * 10glo + x * 10glo) + -1log(10)(x + -7) = 1
(70glo + 10glox) + -1log(10)(x + -7) = 1

Reorder the terms:
70glo + 10glox + -1glo * 10(-7 + x) = 1

Reorder the terms for easier multiplication:
70glo + 10glox + -1 * 10glo(-7 + x) = 1

Multiply -1 * 10
70glo + 10glox + -10glo(-7 + x) = 1
70glo + 10glox + (-7 * -10glo + x * -10glo) = 1
70glo + 10glox + (70glo + -10glox) = 1

Reorder the terms:
70glo + 70glo + 10glox + -10glox = 1

Combine like terms: 70glo + 70glo = 140glo
140glo + 10glox + -10glox = 1

Combine like terms: 10glox + -10glox = 0
140glo + 0 = 1
140glo = 1

Solving
140glo = 1

Solving for variable 'g'.

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

Divide each side by '140lo'.
g = 0.007142857143l-1o-1

Simplifying
g = 0.007142857143l-1o-1

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