簡單,but我唔識,急，唔該呀

2^(-2)
= 1 / 2^2
= 1 / 4
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2^(1/3)
= (3)√2 <--2開方3次
= 1.25992105....
---------------------------------------------------
(2x^2)^2 (3x)
= (4x^4)(3x)
= 12x^5
---------------------------------------------------
log[(x + 1) / 2] = 1
(x + 1) / 2 = 10
x + 1 = 20
x = 19
----------------------------------------------------
2^x = √8
2^x = 8^(1/2)
log 2^(x) = log 8^(1/2)
x log 2 = (1/2) log 8
2x = log 8 / log 2
2x = 3
x = 3 / 2
----------------------------------------------------
log2 = a
log3 = b

log 12
=log (2 x 2 x 3)
=log 2 + log 2 + log 3
= 2a + b

a.1/4
b.2開方3
c.先拆第一個括號,得出4x^4(3x),之後數還數,x還x,得出12x^5.
d.1=log10,log(X+1/2)=log10,左右兩邊去log,得出x+1/2=10,所以x=9又1/2.
e.同時log兩邊,得出log2^x=log開方根8,轉個寫法即係xlog2=(1/2)log8,而8=2^3,所以xlog2=(1/2)log2^3,即係xlog2=(3/2)log2.兩邊一齊拎走log2,得出x=3/2.
f. 先處理開方根,開方根即1/2次方,所以log開方根12=log12^(1/2)=(1/2)log12.12=3*4.(1/2)log12=(1/2)log(3*4)=(1/2)log3*log4=(1/2)b*2log2=ab.
你明我寫咩你先好填落去做功課,如果你不求甚解,只求答案,最終會害死你.

2007-01-16 02:14:02 補充：
f. 更正:先處理開方根,開方根即1/2次方,所以log開方根12=log12^(1/2)=(1/2)log12.12=3*4.(1/2)log12=(1/2)log(3*4)=(1/2)(log3+2log4)=(1/2)(b+2log2)=a+(b/2).