Log[2](7x+3)-log[2](2x-3)=3

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Solution for Log[2](7x+3)-log[2](2x-3)=3 equation:


Simplifying
Log[2](7x + 3) + -1log[2](2x + -3) = 3

Reorder the terms:
goL * 2(3 + 7x) + -1log[2](2x + -3) = 3

Reorder the terms for easier multiplication:
2goL(3 + 7x) + -1log[2](2x + -3) = 3
(3 * 2goL + 7x * 2goL) + -1log[2](2x + -3) = 3
(6goL + 14goxL) + -1log[2](2x + -3) = 3

Reorder the terms:
6goL + 14goxL + -1glo * 2(-3 + 2x) = 3

Reorder the terms for easier multiplication:
6goL + 14goxL + -1 * 2glo(-3 + 2x) = 3

Multiply -1 * 2
6goL + 14goxL + -2glo(-3 + 2x) = 3
6goL + 14goxL + (-3 * -2glo + 2x * -2glo) = 3
6goL + 14goxL + (6glo + -4glox) = 3

Reorder the terms:
6glo + -4glox + 6goL + 14goxL = 3

Solving
6glo + -4glox + 6goL + 14goxL = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 6glo + -4glox + 6goL + 14goxL = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 6glo + -4glox + 6goL + 14goxL = 0

The solution to this equation could not be determined.

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