Disclaimer: I'm new to logs.
I understand the first part of the cancellation property in yellow below. Can anyone explain the second part? I'm confused how you can rewrite it without the a base.
$\begingroup$
$\endgroup$
1
-
$\begingroup$ hint: $a^? = x$ and $?=\log_a x$ mean the same thing. $\endgroup$– John JoyOct 25, 2015 at 16:40
Add a comment
|
2 Answers
$\begingroup$
$\endgroup$
2
I think I figured this out. It comes from the definition of the inverse of an exponential function:
-
$\begingroup$ +1 for answering your own question. But it did take you just 13 minutes - you probably could have done it without posting here! $\endgroup$ Oct 25, 2015 at 14:10
-
$\begingroup$ Agreed. I'll take it down if nobody finds it useful. $\endgroup$ Oct 25, 2015 at 14:12
$\begingroup$
$\endgroup$
yes it is right . You can change the position of a and x in second equation so it becomes $x^{log_a^a}$ but $log_a^a$ is 1 so $ x^1 $ =x . Hope this answer helps you understand this property.
answered Oct 25, 2015 at 14:02