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 = log2 (x + 2)

Accepted Answer

Graph the function using the change of base property where we have Y equals log base five of X plus six. Now, so this, let's first write out the change of base property. Our change of base property tells us that if we have a log base B of M, we can rewrite this as log base A M divided by log base A of B. In our case, I want to make our new base tin, which is the common base for algorithms. So we can re write this. We have lung P five of X plus six, we can rewrite this. Then as luck base 10 X plus six divided by log base effect. No log base 10 05 is the value we can approximate, which approximates about 0.6989. I will leave my log based set of X plus six on the top. Now, we noticed we have a decimal in our denominator. If we have a, there's a one in front of our log base 10 X plus six, we can divide one and 0.6989. This number goes to 1. log base 10 X plus six. We now have our function we need. If we look at all of our possible graphs, we can determine the answer to our problem is answer C 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 = log2 (x + 2)