F.4 LOG一條!~~~~~~~~~~~~~~~~~~~~

2011-04-17 7:50 pm
a)What is the relation between the graphs of y=log_6 x and y= log_(1/6) x ?

b)which transformation can be applied to the graph of y=log_(1/6) x to obtain the image as the graph of y=6^x ?

thanks!

回答 (1)

2011-04-17 8:46 pm
✔ 最佳答案
(a) y = log_6 x = logx/log6

y = log_1/6 x = logx/log(1/6) = -logx/log6

So, the relation is the log_(1/6) x = - log_6 x

(b) First, reflect log_(1/6) x about the x-axis. Then reflect this graph about y = x to obtain y = 6^x


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