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Evaluate log₂ (32)
a) 3
b) 4
c) 5
d) 6

User Franswa
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1 Answer

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Final answer:

The calculation of log₂ (32) is a high school level mathematics question. It asks for the exponent to which the base 2 must be raised to equal 32, which is 5. Therefore, the answer is c) 5.

Step-by-step explanation:

The subject of evaluating log₂ (32) falls under Mathematics, specifically dealing with logarithms, which are part of the high school curriculum. Logarithms are the inverse operation to exponentiation, and the question asks to find the power to which the base 2 must be raised to produce the number 32.

To solve this, remember that 2⁵ = 32, which means that the exponent for base 2 that results in 32 is 5. Hence, log₂ (32) = 5. This is due to the fundamental property of logarithms which states that if b⁾ = a, then logₑ₋ (a) = x. Therefore, the correct answer is c) 5.

To evaluate log₂ (32), we need to find the power to which 2 must be raised to get 32. In other words, we need to find the number x that satisfies the equation 2x = 32. To find this, we can write 32 as a power of 2: 32 = 25. Therefore, log₂ (32) = 5.

User Ole Begemann
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