Which of the following is true regarding the solution to the logarithmic equation? log sub 2 of open paren x plus 11 close paren is equal to 4 x plus 11 is equal to 2 to the 4th power x plus 11 is equal to 16 x is equal to 5

Rewrite log₂(x + 11) = 4 in exponential form: x + 11 = 2⁴ = 16, so x = 5. Substituting x = 5 gives log₂(16) = 4, which makes the equation true. Therefore, the correct choice is D: x = 5 is a true solution because log₂(16) = 4.

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