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7 May, 05:54

What is another way to write the function f (x) = 5^x. The choices are

f (x) = (625^x) 1/125

f (x) = 1/125 (625^x)

f (x) = (625^x) ^1/4

f (x) = 1/4 (6256x)

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Answers (2)
  1. 7 May, 06:04
    0
    Correct answer is f (x) = (625^x) ^1/4

    Step-by-step explanation:

    We know that

    625 = 5^4

    This means

    f (x) = (625^x) ^1/4

    f (x) = (5^ (4x)) ^1/4

    But we know this is equivalent to

    f (x) = (5^ (4x * (1/4))) =

    = 5^ (x)

    Correct answer is f (x) = (625^x) ^1/4
  2. 7 May, 06:11
    0
    (625^x) ^1/4.

    Step-by-step explanation:

    625 = 5*5*5*5

    so 625^1/4 = 5.

    So it is (625^x) ^1/4.
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