If p = log2(x), what is the value of log2(2x^3) in terms of p?

Discussion in 'Calculator Requests' started by math_celebrity, Feb 8, 2024.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If p = log2(x), what is the value of log2(2x^3) in terms of p?

    A. 6p
    B. 2p^3
    C. 1 + 3p
    D. 3 + 3p
    E. 1 + p^3

    log2(2x^3) = log2(2) + log2(x^3)

    log2(2) = 1, so we have:
    log2(2x^3) = 1 + 3log2(x)

    Since we're given log2(x) = p, we have:
    log2(2x^3) = 1 + 3p - Answer C

     
    Last edited: Feb 8, 2024

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