log(8)(t+10)-log(8)(t-1)=log(8)13

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Solution for log(8)(t+10)-log(8)(t-1)=log(8)13 equation:


Simplifying
log(8)(t + 10) + -1log(8)(t + -1) = log(8) * 13

Reorder the terms:
glo * 8(10 + t) + -1log(8)(t + -1) = log(8) * 13

Reorder the terms for easier multiplication:
8glo(10 + t) + -1log(8)(t + -1) = log(8) * 13
(10 * 8glo + t * 8glo) + -1log(8)(t + -1) = log(8) * 13
(80glo + 8glot) + -1log(8)(t + -1) = log(8) * 13

Reorder the terms:
80glo + 8glot + -1glo * 8(-1 + t) = log(8) * 13

Reorder the terms for easier multiplication:
80glo + 8glot + -1 * 8glo(-1 + t) = log(8) * 13

Multiply -1 * 8
80glo + 8glot + -8glo(-1 + t) = log(8) * 13
80glo + 8glot + (-1 * -8glo + t * -8glo) = log(8) * 13
80glo + 8glot + (8glo + -8glot) = log(8) * 13

Reorder the terms:
80glo + 8glo + 8glot + -8glot = log(8) * 13

Combine like terms: 80glo + 8glo = 88glo
88glo + 8glot + -8glot = log(8) * 13

Combine like terms: 8glot + -8glot = 0
88glo + 0 = log(8) * 13
88glo = log(8) * 13

Reorder the terms for easier multiplication:
88glo = 8 * 13glo

Multiply 8 * 13
88glo = 104glo

Solving
88glo = 104glo

Solving for variable 'g'.

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

Add '-104glo' to each side of the equation.
88glo + -104glo = 104glo + -104glo

Combine like terms: 88glo + -104glo = -16glo
-16glo = 104glo + -104glo

Combine like terms: 104glo + -104glo = 0
-16glo = 0

Divide each side by '-16'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

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