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Math ( Rewrite the expression as a single logarithm )?

a) 6 log x - 1/4 log y + log z

b)1/2 log x - 3 log y - 2 log z

4 Answers

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  • 9 years ago

    a) 6 log x - 1/4 log y +log z remember, log a + log b = log (ab) and a log b = log a^b ,

    log a - log b=log a/b ^ = to the power of which you probably know

    so log x^6 - log y^(1/4) + log z= (log zx^6/y^1/4)

    b)1/2 log x - 3 log y - 2 log z = log x^1/2 - log y ^ 3 - log z^2= log (x^1/2 / y^3) - log z^2 =

    log( x^1/2 / y^3 z^2)

    This is my first answered question so I hope its good

    Source(s): currently in Pre-Calculus
  • 9 years ago

    a) 6 log x - 1/4 log y + log z

    log x^6 - log y^(1/4) + log z

    log ( x^6 z /y^(1/4) )

    b)1/2 log x - 3 log y - 2 log z

    log x^(1/2) - log y^3 - log z^2

    log ( sqrt(x) / ( y^3 z^2 ) )

  • Anonymous
    9 years ago

    a)log((x^6*z)/y^(1/4))

    b)log(x^(1/2)/(y^3*z^2))

  • ?
    Lv 4
    4 years ago

    Use formulation - log a + log b = log (ab) for all. a million) 4log x - 2log(x^2+a million)+4log(x-a million) = log x^4 - log (x^2 + a million)^2 + log (x-a million)^4 = log [ x^4 * (x^2 + a million)^2 * (x-a million)^4 ] A = [ x^4 * (x^2 + a million)^2 * (x-a million)^4 ] 2) ln (a+b) + 5 ln (a-b) - 3lnc = ln (a+b) + ln (a-b)^5 - ln c^3 = ln [ (a+b) * (a-b)^5 * c^3] A = [ (a+b) * (a-b)^5 * c^3]

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