Question

How do you calculate log base 6 of 9 by using changing bases

Answer 1

Answer:

1.2262943855309168262595...

Step-by-step explanation:

You use the change of base formula:

$log_b(a) = \frac{log_c(a)}{log_c(b)}$

So in essence, you can take any base c and just divide by the log of the original base b.

A special base is e, which gives you the natural log ln.

So even ln 9 / ln 6 gives the same answer.