log(4)*(5x-3)+log(4)*(9-x)=3

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Solution for log(4)*(5x-3)+log(4)*(9-x)=3 equation:


Simplifying
log(4)(5x + -3) + log(4)(9 + -1x) = 3

Reorder the terms:
glo * 4(-3 + 5x) + log(4)(9 + -1x) = 3

Reorder the terms for easier multiplication:
4glo(-3 + 5x) + log(4)(9 + -1x) = 3
(-3 * 4glo + 5x * 4glo) + log(4)(9 + -1x) = 3
(-12glo + 20glox) + log(4)(9 + -1x) = 3

Reorder the terms for easier multiplication:
-12glo + 20glox + 4glo(9 + -1x) = 3
-12glo + 20glox + (9 * 4glo + -1x * 4glo) = 3
-12glo + 20glox + (36glo + -4glox) = 3

Reorder the terms:
-12glo + 36glo + 20glox + -4glox = 3

Combine like terms: -12glo + 36glo = 24glo
24glo + 20glox + -4glox = 3

Combine like terms: 20glox + -4glox = 16glox
24glo + 16glox = 3

Solving
24glo + 16glox = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 24glo + 16glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 24glo + 16glox = 0

The solution to this equation could not be determined.

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