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# C19

last edited by 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:

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

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

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