What is the solution to 4 raised to the log sub 4 of open paren x plus 8 close paren power is equal to 4 squared ?

For a positive number inside the logarithm, the exponential and logarithm with the same base cancel: 4^(log₄(x + 8)) = x + 8. So x + 8 = 4² = 16, which gives x = 8. This satisfies the domain requirement x + 8 > 0, so the correct choice is C, x is equal to 8.

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