The value of x is 5. Thus, the correct statement is:
x = 5 is a true solution because log subscript 2 Baseline (16) = 4
<h3>Data obtained from the question </h3>
- Log₂ (x + 11) = 4
- Value of x =?
<h3>How to determine the value of x </h3>
Log₂ (x + 11) = 4
x + 11 = 2⁴
x + 11 = 16
Collect like terms
x = 16 – 11
x = 5
<h3>**Check** </h3>
Log₂ (x + 11) = 4
x = 5
Log₂ (5 + 11) = 4
Log₂ 16 = 4
Find the value of Log₂ 16
Log₂ 16 = n
16 = 2ⁿ
2⁴ = 2ⁿ
n = 4
Thus,
Log₂ 16 = 4
Therefore, the correct answer to the question is:
x = 5 is a true solution because log subscript 2 Baseline (16) = 4
Complete question
Which of the following is true regarding the solution to the logarithmic equation below? log Subscript 2 Baseline (x + 11) = 4. x + 11 = 2 Superscript 4. x + 11 = 16. x = 5. x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 2 x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 4 x = 5 is a true solution because log Subscript 2 Baseline (16) = 4 x = 5 is a true solution because log Subscript 4 Baseline (16) = 2
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