Kiteok Kiteok
  • 16-08-2019
  • Mathematics
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How do you calculate log base 6 of 9 by using changing bases

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tonb
tonb tonb
  • 16-08-2019

Answer:

1.2262943855309168262595...

Step-by-step explanation:

You use the change of base formula:

[tex]log_b(a) = \frac{log_c(a)}{log_c(b)}[/tex]

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.

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