Our next focus will be on solving harder exponential and logarithmic equations. One note of caution: when solving exponential equations that are quadratic in form you need to make sure that you check your solutions in case you introduced any extraneous ones in the solving process.
The next section will deal with graphing logarithmic functions.
Without your calculator, what is the difference between log(2)2 and log(22)? The answer is, there is no difference. Why? Because log(2)2≠[log(2)]2. Now do you see it?
Your calculator lies by telling you that log(2)2 and log(22) are not the same thing. This is why we do not emphasize calculator use for things we can do without. Most people do not know enough to properly use their calculator and therefore come to false conclusions. Keep this in mind when working on the claims for tomorrow.