log[2](5x+3)-log[10](x-1)=0

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Solution for log[2](5x+3)-log[10](x-1)=0 equation:


Simplifying
log[2](5x + 3) + -1log[10](x + -1) = 0

Reorder the terms:
glo * 2(3 + 5x) + -1log[10](x + -1) = 0

Reorder the terms for easier multiplication:
2glo(3 + 5x) + -1log[10](x + -1) = 0
(3 * 2glo + 5x * 2glo) + -1log[10](x + -1) = 0
(6glo + 10glox) + -1log[10](x + -1) = 0

Reorder the terms:
6glo + 10glox + -1glo * 10(-1 + x) = 0

Reorder the terms for easier multiplication:
6glo + 10glox + -1 * 10glo(-1 + x) = 0

Multiply -1 * 10
6glo + 10glox + -10glo(-1 + x) = 0
6glo + 10glox + (-1 * -10glo + x * -10glo) = 0
6glo + 10glox + (10glo + -10glox) = 0

Reorder the terms:
6glo + 10glo + 10glox + -10glox = 0

Combine like terms: 6glo + 10glo = 16glo
16glo + 10glox + -10glox = 0

Combine like terms: 10glox + -10glox = 0
16glo + 0 = 0
16glo = 0

Solving
16glo = 0

Solving for variable 'g'.

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

Divide each side by '16'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

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