From 4 maths

2007-12-03 1:57 am
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1)Simplify log (100y)/1+log √y

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2)If log 3√x =12, find the value of the following expressions. (3是指數)
(a)log (10x) (b)log x2 (2是指數)


可以的話STEP也給我

回答 (2)

2007-12-03 2:19 am
✔ 最佳答案
1) log (100y)/(1+log √y)

= ( log 100 + log y ) / ( 1+ log sqr y )

= ( 2 + log y ) / ( 1 + log y / 2 )

= 2 ( 1 + log y / 2 ) / ( 1 + log y / 2 )

= 2

2) log x ^ ( 2 / 3 ) = 12

( 2 / 3 ) log x = 12

log x = 18

a) log (10x)

= log 10 + log x

= 1 + 18

= 19

b) log ( x^2 )

= 2 log x

= 2 ( 18 )

= 36
參考: My Maths Knowledge
2007-12-12 2:42 am
Ans: ( 1 ) 2


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