So for example, suppose if I had the ten and I had this value, but this was my unknown, I could simply use this to find my exponent. That's why logs are convenient whenever you don't know our exponent, but you know the result and you know the base. You can use longs to find the exponent. That's why logs are used. So let's represent this guy as well. So this guy ten to negative five is equal to one over 100,000, which is 0.1
and equivalently on the log scale if you're presented in terms of negative log of base ten of 0.0001, and that equals to five.