急 ! Logarithmic Function

圖片參考：http://imgcld.yimg.com/8/n/HA04937267/o/701112090062513873409462.jpg

9a,9b,9c,9d 16a and 16b

9(a)log(10)x^3/log(10)x
=3log(10)x/log(10)x
=3
9(b)log(2)x/log(2)sqrtx
=log(2)x/(1/2)log(2)x
=2
9(c)log(10)x^5-5log(10)x
=5log(10)x-5log(10)x
=0
9(d)(log(4)x)(log(x)2)
=(log(4)x)(log(x)2/log(x)x)
=(log(4)x)(log(4)2/log(4)x)
=log(4)2
=1/2
16(a)log(a)x
=log(a)x/log(a)a
=log(x)x/log(x)a
=1/log(x)a
16(b)log(6561)3
=1/log(3)6561
=1/8(given)
note:
the number in the brackets are the base of logarithmic functions.