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Math Help - logarithms

  1. #1
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    logarithms

    help please!

    If loga b = 2 and loga c = 4, find the numeric value of the following two expressions: loga (log base a)

    (a) loga(b^2 c^3) it's log base a, b squared, c cubed.

    (b) logb(c) log base b, c
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by rafaeli View Post
    help please!

    If loga b = 2 and loga c = 4, find the numeric value of the following two expressions: loga (log base a)

    (a) loga(b^2 c^3) it's log base a, b squared, c cubed.
    This is the same as \log_a(b^2)+\log_a(c^3)=2\log_ab+3\log_ac

    What do you think the answer is now?

    (b) logb(c) log base b, c
    I believe this is the same thing as \frac{\log_ac}{\log_ab}. So what do you think the answer is now?

    --Chris
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  3. #3
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    Quote Originally Posted by Chris L T521 View Post
    This is the same as \log_a(b^2)+\log_a(c^3)=2\log_ab+3\log_ac

    What do you think the answer is now?



    I believe this is the same thing as \frac{\log_ac}{\log_ab}. So what do you think the answer is now?

    --Chris
    thanks, so the first answer is 16? and the second i still don't get, the problem is logbC . .. . (log base b, c)
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