This means .

This means .

Because it means ‘a’ to what power equals ‘a’. Obviously, anything to power 1 equals itself. So because if, .

Anything to the power 0 equals one. So log1 always equals 0. Even e⁰ = 1.

This means .

This happens because means ‘a’ to what power equals ‘u’. Let’s say .

That would mean . Replacing ‘x’ with in the equation gives . ‘a’ to the power ‘x’ equals ‘u’.

In other words a to what power = u? The answer is x. And a to that power = a to (a to what power = u) = u. Easy!