Logarithmic function doesn't go infinite (see the given file).

Tea shared this problem 1 week ago
In Progress

If you saw the given file you could see that exp function goes to infinite on the x-axis, but log function doesn't go infinite on the y-axis. Do you know that problem? And can you help me with that?

Comments (3)

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Hi Tea,


that is only a problem of your expaction, not a problem of GeoGebra.


You know, that:


  • log<sub>5</sub>(1)=0
  • log<sub>5</sub>(5)=1
  • log<sub>5</sub>(25)=2
  • log<sub>5</sub>(125)=3
  • log<sub>5</sub>(625)=4
  • log<sub>5</sub>(3125)=5 ....

So the function goes to infinite, really :smile: , but only very slow.


Greetings

mire2

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Okay, but I think that the graph of log(5,x) must go to the end of the screen. Since x=0 is an asymptote it follows that the whole graph needs to be near the asymptote. If you write log_5 x in the following window https://www.desmos.com/calculator the graph si always near the y-axis.

Because of that, I thought that GeoGebra's graph is something wrong. Sorry.

Cheers,

Tea.

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OH, I thougt that this effect is caused by the limited precision of calculations by the computer or rather GeoGebra.

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