Understanding Logarithmic Functions (Graded)

Part 1: Why do you think that you cannot plug in 0 nor any negative number into a logarithmic function?

Use Part 2 and Part 3 as guides/ideas for follow-up responses to your peers.

Part 2:What does it mean for a function to not be defined for some values of x? Does this aspect of logarithmic functions make mathematical as well as real-world sense? Is this aspect of logarithms similar to complex solutions of quadratic equations? Why can't we just make up a 'number' that equals the logarithm of 0, or -1? Say is this equation nonsense? We created i, the imaginary number to help us solve where . How and why is this situation different?

Part 3:Why do you think extraneous solutions can appear when solving logarithmic equations? You may have experienced something similar with of linear equations. Are these situations similar?