### Exponentials & Logarithms

Package of problems

## Warm-up

For any positive number $x$, can you explain why this result is true?

$2\log_4 x=\log_2 x$

Can you describe what $\log_4 x$ and $\log_2 x$ are in words?

Which of the following is correct?

$2\log_6 x=\log_3 x \quad 3\log_9 x=\log_3 x \quad 2\log_9 x=\log_3 x$

What is a general statement of this result?