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.

Answer 1

Answer:

C, x = 5 is a true solution because log Subscript 2 Baseline (16) = 4

Step-by-step explanation:

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Answer 2

The value of x is 5. Thus, the correct statement is:

x = 5 is a true solution because log subscript 2 Baseline (16) = 4

Data obtained from the question

• Log₂ (x + 11) = 4
• Value of x =?

How to determine the value of x

Log₂ (x + 11) = 4

x + 11 = 2⁴

x + 11 = 16

Collect like terms

x = 16 – 11

x = 5

**Check**

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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