Rex S.

asked • 04/09/18# A complicated polynomial graph ;y=3e^x-2

I am studying for a pre-calc. final. I am stuck on the question y=3e^x-2. I have gotten the answer through desmos but am struggling to solve the problem on my own. Any help appreciated, thank you.

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## 1 Expert Answer

If you can draw the graph of y=e

^{x}, you should not have difficulties with y=3e^{x}-2. Basically, this is the same as e^{x}just multiplied by 3 and shifted by 2.x |e

^{x}|3e^{x}-2|0 | 1 |1 |

1 | e |3e-2 |

....

Where are you stuck?

Rex S.

I know I am supposed to apply logarithms somewhere in the process but do not know where

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04/09/18

Bobosharif S.

tutor

In principle, no need for logarithm. But if you'd like to use logarithm, then you can do following:

y=3e

^{x}-2. So (y+2)/3=e^{x}, then log(y+2)-log(3)=x. Does it help?Once you take log, you will have a different function. logy instead of y.

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04/09/18

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Mark M.

04/09/18