log[4](x+6)+log[4](x+54)=5

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Solution for log[4](x+6)+log[4](x+54)=5 equation:


Simplifying
log[4](x + 6) + log[4](x + 54) = 5

Reorder the terms:
glo * 4(6 + x) + log[4](x + 54) = 5

Reorder the terms for easier multiplication:
4glo(6 + x) + log[4](x + 54) = 5
(6 * 4glo + x * 4glo) + log[4](x + 54) = 5
(24glo + 4glox) + log[4](x + 54) = 5

Reorder the terms:
24glo + 4glox + glo * 4(54 + x) = 5

Reorder the terms for easier multiplication:
24glo + 4glox + 4glo(54 + x) = 5
24glo + 4glox + (54 * 4glo + x * 4glo) = 5
24glo + 4glox + (216glo + 4glox) = 5

Reorder the terms:
24glo + 216glo + 4glox + 4glox = 5

Combine like terms: 24glo + 216glo = 240glo
240glo + 4glox + 4glox = 5

Combine like terms: 4glox + 4glox = 8glox
240glo + 8glox = 5

Solving
240glo + 8glox = 5

Solving for variable 'g'.

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

Reorder the terms:
-5 + 240glo + 8glox = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 240glo + 8glox = 0

The solution to this equation could not be determined.

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