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MATH

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Given that x=logbase3 5 and
y=logbase3 2 , rewrite logbase3 60 in terms of x and y.

  • MATH -

    given:
    x = log3 5 ----> 3^x = 5
    y = log3 2 ----> 3^y = 2

    let log3 60 = z ---- 3^z = 60

    3^z = 60
    = (3)(2)(2)(5)
    = (3^0)(3^y)(3^y)(3^x)
    = 3(1+y+y+x)
    = 3^(x+2y+1)

    then z = x+2y+1
    log360 = x+2y+1

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