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Log₂32=5 That is, write your answer in the form 2ᴬ=B.

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Final answer:

The equation log₂ 32 = 5 translates to 25 = 32, denoting that the number 2 raised to the power of 5 is equal to 32. This is an example of converting a logarithmic equation to an exponential form.

Step-by-step explanation:

The question presented asks us to interpret the equation log₂ 32 = 5 and to express our answer using the form 2A = B. The logarithmic equation log₂ 32 = 5 means the power to which the base 2 must be raised to produce the number 32. Following the property of logarithms, we can convert this logarithmic form to its equivalent exponential form, which would be 25 = 32. This is because 2 raised to the power of 5 equals 32, confirming that the log base 2 of 32 is indeed 5.

Raising a number to a power is a basic concept in mathematics, typically done to express repeated multiplication. For example, the integer power is shorthand for 4 × 4 × 4. When dealing with exponents, some helpful rules include that when we multiply numbers with the same base, we add their exponents (A.8).

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