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標題:

maths problem

發問:

1.Suppose a = log (底是2)3 , b= log (底是3)11 express log(底是66)44 in terms of a and b. 點計,, ,唔該

aa.jpg

 

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最佳解答:

a = log 3/log 2 ( to any base) b = log 11/log 3 ( to the same base as a). log 44 to base 66 = log 44/log 66 to the same base as a and b. = (log 11 + 2 log 2)/(log 11 + log 2 + log 3) = (log 11/ log 3 + 2 log 2/log 3)/(log 11 / log 3 + log 2/log 3 + log 3/ log 3) = ( b + 2/a)/(b + 1/a + 1) = (ab + 2)/(ab + a + 1).

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