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Index laws question

  • #1

Homework Statement



we are asked to compare the graphs of 0.5^x with 2^x using index laws

Homework Equations



I am not sure how the regular index laws apply

The Attempt at a Solution



All I can say at the moment is the the graph of 2^x is a reflection of 0.5^x in the Y axis. I don't know how exactly to compare or justify this using index laws
 

Answers and Replies

  • #2
S.G. Janssens
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By "index laws", do you mean the rules for manipulation of quantities involving bases and exponents?

It may help to note that ##0.5 = \frac{1}{2} = 2^{-1}##.
 
  • #3
So then 0.5^x becomes 2^-x? So the two functions are effectively 2^x and 2^-x and because of this they are reflections of each other in the Y - axis.

I don't know what else the teacher might be expecting but I suspect that the answer the teacher is looking for. What do you reckon? The question was a bit vague.

Thanks
 
  • #4
S.G. Janssens
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  • #5
SammyS
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So then 0.5^x becomes 2^-x? So the two functions are effectively 2^x and 2^-x and because of this they are reflections of each other in the Y - axis.

Thanks
Yes. That's definitely a valid analysis.
 
  • #6
Yes. That's definitely a valid analysis.

Thank you confirming that.
 

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