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

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


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

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

Reorder the terms for easier multiplication:
2goL(3 + 2x) + -1log[2](5x + -1) = 3
(3 * 2goL + 2x * 2goL) + -1log[2](5x + -1) = 3
(6goL + 4goxL) + -1log[2](5x + -1) = 3

Reorder the terms:
6goL + 4goxL + -1glo * 2(-1 + 5x) = 3

Reorder the terms for easier multiplication:
6goL + 4goxL + -1 * 2glo(-1 + 5x) = 3

Multiply -1 * 2
6goL + 4goxL + -2glo(-1 + 5x) = 3
6goL + 4goxL + (-1 * -2glo + 5x * -2glo) = 3
6goL + 4goxL + (2glo + -10glox) = 3

Reorder the terms:
2glo + -10glox + 6goL + 4goxL = 3

Solving
2glo + -10glox + 6goL + 4goxL = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 2glo + -10glox + 6goL + 4goxL = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 2glo + -10glox + 6goL + 4goxL = 0

The solution to this equation could not be determined.

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