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MATH

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Given that logbase2 a+logbase2 b=3 , calculate all the possible integer values of a if b is
also an integer value. Explain your reasoning.

  • MATH - ,

    log2 a + log2 b = 3
    log2 (ab) = 3
    ab = 2^3 = 8

    using positive integer values, all possibilties for
    (a,b) are
    (1,8)
    (2,4)
    (4,2) and
    (8,1)

    testing one of them: a=4, b=2

    LS = log24 +log2 2
    = 2 + 1
    = 3
    = RS

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