Question

What is `log_b 1`?

Answer 1

It equals 0.

Logarithms can be understood as another way of thinking about powers (also called indices or exponents). So `log_b1` is another way of saying, "What power should I raise b to in order to get an answer of 1?"

You can raise any number to the power of 0 to get 1, so the answer is 0.