Geometric sequence question

2008-10-12 7:59 pm
If x,100,y forms a geometric sequence, find the value of log x+log y
(please show detailed steps)

回答 (1)

2008-10-12 8:26 pm
✔ 最佳答案

Consider the first two terms. Common ratio = 100/x

Consider the last two terms. Common ratio = y/100

Hence, 100/x = y/100

xy = 10000


log(x) + log(y)

= log(xy)

= log(10000)

= log(10)4

= (4)log(10)

= 4 x 1

= 4
=


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