2log[4](x)-log[4](x-1)=1

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Solution for 2log[4](x)-log[4](x-1)=1 equation:


Simplifying
2log[4](x) + -1log[4](x + -1) = 1

Reorder the terms for easier multiplication:
2 * 4glo * x + -1log[4](x + -1) = 1

Multiply 2 * 4
8glo * x + -1log[4](x + -1) = 1

Multiply glo * x
8glox + -1log[4](x + -1) = 1

Reorder the terms:
8glox + -1glo * 4(-1 + x) = 1

Reorder the terms for easier multiplication:
8glox + -1 * 4glo(-1 + x) = 1

Multiply -1 * 4
8glox + -4glo(-1 + x) = 1
8glox + (-1 * -4glo + x * -4glo) = 1
8glox + (4glo + -4glox) = 1

Reorder the terms:
4glo + 8glox + -4glox = 1

Combine like terms: 8glox + -4glox = 4glox
4glo + 4glox = 1

Solving
4glo + 4glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 4glo + 4glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 4glo + 4glox = 0

The solution to this equation could not be determined.

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