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

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


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

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

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

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

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

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

Reorder the terms:
7glo + 7glox + -7glox = 1

Combine like terms: 7glox + -7glox = 0
7glo + 0 = 1
7glo = 1

Solving
7glo = 1

Solving for variable 'g'.

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

Divide each side by '7lo'.
g = 0.1428571429l-1o-1

Simplifying
g = 0.1428571429l-1o-1

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