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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