1. Elizabeth’s Problem of the Week Solution May 3rd, 2010

2. In how many points do the graphs of and intersect?

3. Step One Set the two equations equal to each other.

4. Step Two Move the 2 in the first equation back into the exponent.

5. Step Three Use the rules of logarithms to find that…

6. Step Four Solve for x. The solution x=0 does not fit into the domain of logarithmic functions, so it can be discarded, leaving only x=2. or

7. Final Answer The graphs only intersect at ONE point, when x=2.