Question

How do you evaluate `log_5 5`?

Answer 1

`log_(5)5=1`

Explanation:

When we write `log_(x)y=z`, we ask to what power we raise the base `x` to get `y`; here if `log_(x)y=z`, then `x^(z)=y`. I can use any base, but typically scientists assume natural logarithms, `log_e`, if the base is not specified, or, more rarely, `log_10`.

Given this, can you tell me `log_(10)100`, `log_(10)1000`, and `log_(10)0.01`? These are all simple whole numbers.