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C19

Page history last edited by PBworks 17 years, 2 months ago

Outcome:

C19: demonstrate an understanding, algebraically and graphically, that the inverse of an exponential function is a logarithmic function.

 

Explanation: 

a logarithmic function is the inverse of an exponential function.it is a reflection of an  exponential function across the y=x line. Much like how when you move a number accross the = you have to change its sign, for exponents to work you have to change them into log form.

 

inverse operations:

addition<-->subtraction

multiplication<-->division

exponents<-->LOGARITHMS

Exponential form --> y=2^x

Logarithmic Form --> Log2^y=x 

 

Too see a graph that represents this inverse --->Graph.gr

 

 

Sample Promblems!:

a) Transform from exponential form to logarithmic form and solve fo X:

32=2^x

b) Transform from logarithmic form to exponential form and solve fo X:

13=logx^169

Answers:

a)32=2^x-->x=log2^32 and x=2

b)log4^x=3 --> 4^3=x and x=64

 

 

Comments (1)

Anonymous said

at 9:51 pm on Apr 29, 2007

Very colourful! You should export the graphmatica graph to an image file and post that instead of the link. Only people with graphmatica installed on their computer can open your image. You have a spelling error or two still in here as well.

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