log(6)x-log(6)(x-1)=1

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Solution for log(6)x-log(6)(x-1)=1 equation:


Simplifying
log(6) * x + -1log(6)(x + -1) = 1

Reorder the terms for easier multiplication:
6glo * x + -1log(6)(x + -1) = 1

Multiply glo * x
6glox + -1log(6)(x + -1) = 1

Reorder the terms:
6glox + -1glo * 6(-1 + x) = 1

Reorder the terms for easier multiplication:
6glox + -1 * 6glo(-1 + x) = 1

Multiply -1 * 6
6glox + -6glo(-1 + x) = 1
6glox + (-1 * -6glo + x * -6glo) = 1
6glox + (6glo + -6glox) = 1

Reorder the terms:
6glo + 6glox + -6glox = 1

Combine like terms: 6glox + -6glox = 0
6glo + 0 = 1
6glo = 1

Solving
6glo = 1

Solving for variable 'g'.

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

Divide each side by '6lo'.
g = 0.1666666667l-1o-1

Simplifying
g = 0.1666666667l-1o-1

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