log[4](x^2-9)-log[4](x+3)=3

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Solution for log[4](x^2-9)-log[4](x+3)=3 equation:


Simplifying
log[4](x2 + -9) + -1log[4](x + 3) = 3

Reorder the terms:
glo * 4(-9 + x2) + -1log[4](x + 3) = 3

Reorder the terms for easier multiplication:
4glo(-9 + x2) + -1log[4](x + 3) = 3
(-9 * 4glo + x2 * 4glo) + -1log[4](x + 3) = 3
(-36glo + 4glox2) + -1log[4](x + 3) = 3

Reorder the terms:
-36glo + 4glox2 + -1glo * 4(3 + x) = 3

Reorder the terms for easier multiplication:
-36glo + 4glox2 + -1 * 4glo(3 + x) = 3

Multiply -1 * 4
-36glo + 4glox2 + -4glo(3 + x) = 3
-36glo + 4glox2 + (3 * -4glo + x * -4glo) = 3
-36glo + 4glox2 + (-12glo + -4glox) = 3

Reorder the terms:
-36glo + -12glo + -4glox + 4glox2 = 3

Combine like terms: -36glo + -12glo = -48glo
-48glo + -4glox + 4glox2 = 3

Solving
-48glo + -4glox + 4glox2 = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + -48glo + -4glox + 4glox2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -48glo + -4glox + 4glox2 = 0

The solution to this equation could not be determined.

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