In Exercises 79–82, use a graphing utility and the change-of-base...

Question

In Exercises 79–82, use a graphing utility and the change-of-base property to graph each function.

y = log3 x

Accepted Answer

Graph, the function using the change of base property Y equals log base 19 of X. And we have four different answers with graphs and equations. To choose from, to solve this, we need to define our equation. You have Y equals log base 19 X with the change of base property. If we have a log base B of M, we can rewrite it with a common base as log base A of M divided by log base A of B. Let's say our common base now will be 10. This means our A turns into tin. We would then say log base 10 of M which is our X is divided by log base 10 of our number 19. We have log base 10 MX divided by our approximation of log base 10 of 19, which approximates to 1.278. We have a log of X divided by 1.278. Since base 10 is our common base for log, this is as far as you want to simplify and we can tell the answer to our problem is answer D OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

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In Exercises 79–82, use a graphing utility and the change-of-base property to graph each function. y = log3 x