log[4](x+14)+log[4](x+62)=5

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Solution for log[4](x+14)+log[4](x+62)=5 equation:


Simplifying
log[4](x + 14) + log[4](x + 62) = 5

Reorder the terms:
glo * 4(14 + x) + log[4](x + 62) = 5

Reorder the terms for easier multiplication:
4glo(14 + x) + log[4](x + 62) = 5
(14 * 4glo + x * 4glo) + log[4](x + 62) = 5
(56glo + 4glox) + log[4](x + 62) = 5

Reorder the terms:
56glo + 4glox + glo * 4(62 + x) = 5

Reorder the terms for easier multiplication:
56glo + 4glox + 4glo(62 + x) = 5
56glo + 4glox + (62 * 4glo + x * 4glo) = 5
56glo + 4glox + (248glo + 4glox) = 5

Reorder the terms:
56glo + 248glo + 4glox + 4glox = 5

Combine like terms: 56glo + 248glo = 304glo
304glo + 4glox + 4glox = 5

Combine like terms: 4glox + 4glox = 8glox
304glo + 8glox = 5

Solving
304glo + 8glox = 5

Solving for variable 'g'.

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

Reorder the terms:
-5 + 304glo + 8glox = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 304glo + 8glox = 0

The solution to this equation could not be determined.

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