Exponential and logarithmic functions.

Prompt:

Consider exponential and logarithmic functions, their properties, and how to graph and model with them. Now consider the following equations:

1. log₅ -x= 3
2. log₀¹ = 0
3. 2 log₅ 10 = (log₅ 10)²

Which of these equations are valid? Which are not? Explain your reasoning, and what would need to change to make them "correct", if they are wrong.

This is a relatively short answer, maybe a paragraph or so. :)