log[4](x+11)+log[4](x+74)=3

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Solution for log[4](x+11)+log[4](x+74)=3 equation:


Simplifying
log[4](x + 11) + log[4](x + 74) = 3

Reorder the terms:
glo * 4(11 + x) + log[4](x + 74) = 3

Reorder the terms for easier multiplication:
4glo(11 + x) + log[4](x + 74) = 3
(11 * 4glo + x * 4glo) + log[4](x + 74) = 3
(44glo + 4glox) + log[4](x + 74) = 3

Reorder the terms:
44glo + 4glox + glo * 4(74 + x) = 3

Reorder the terms for easier multiplication:
44glo + 4glox + 4glo(74 + x) = 3
44glo + 4glox + (74 * 4glo + x * 4glo) = 3
44glo + 4glox + (296glo + 4glox) = 3

Reorder the terms:
44glo + 296glo + 4glox + 4glox = 3

Combine like terms: 44glo + 296glo = 340glo
340glo + 4glox + 4glox = 3

Combine like terms: 4glox + 4glox = 8glox
340glo + 8glox = 3

Solving
340glo + 8glox = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 340glo + 8glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 340glo + 8glox = 0

The solution to this equation could not be determined.

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