Log[2](7x-3)-log[2](5-3x)=3

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Solution for Log[2](7x-3)-log[2](5-3x)=3 equation:


Simplifying
Log[2](7x + -3) + -1log[2](5 + -3x) = 3

Reorder the terms:
goL * 2(-3 + 7x) + -1log[2](5 + -3x) = 3

Reorder the terms for easier multiplication:
2goL(-3 + 7x) + -1log[2](5 + -3x) = 3
(-3 * 2goL + 7x * 2goL) + -1log[2](5 + -3x) = 3
(-6goL + 14goxL) + -1log[2](5 + -3x) = 3

Reorder the terms for easier multiplication:
-6goL + 14goxL + -1 * 2glo(5 + -3x) = 3

Multiply -1 * 2
-6goL + 14goxL + -2glo(5 + -3x) = 3
-6goL + 14goxL + (5 * -2glo + -3x * -2glo) = 3
-6goL + 14goxL + (-10glo + 6glox) = 3

Reorder the terms:
-10glo + 6glox + -6goL + 14goxL = 3

Solving
-10glo + 6glox + -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 + -10glo + 6glox + -6goL + 14goxL = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -10glo + 6glox + -6goL + 14goxL = 0

The solution to this equation could not be determined.

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