**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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