# Log properties: Cancellation property (visual intuition)

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.

• hint: $a^? = x$ and $?=\log_a x$ mean the same thing. Oct 25, 2015 at 16:40

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.