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6 November, 07:58

Let f (x) = 2 ^ x; its inverse is f ^ - 1 * (x) = log2 x. If f (5) = 32, what is f ^ - 1 * (32) ?

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  1. 6 November, 09:30
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    Answer: 5

    Step-by-step explanation:

    f (x) = 2ˣ f⁻¹ (x) = log₂ x

    f (5) = 2⁵ f⁻¹ (32) = log₂ 32

    = 32 = log₂ 2⁵

    = 5
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