Symbolically, Graphically, and Numerically. Everything we’ve learned from this point on forward has been showed to us in different perspectives. Before I always relied on my graphing calculator on showing me how the function looks like. Like a block of wood. It has 3 different sides. A function isn’t a function when its only represented in one perspective. To give us a mental picture and a better understanding of the function, we need to look at it symbolically (it’s equation), graphically (drawn in a Cartesian plane), and numerically (table of values).
In pre-cal 40, I always had problem with logarithms. The simple statement “A log is an exponent”, was never really planted into my head. I hated logs. I always thought it was something more complicated. All along, one of the units that always took me a long time to work on, is nothing but JUST an EXPONENT. A big shocker. The natural log function, or the ln function, I was never really taught how to use it in pre-cal 40. How we could just plug it in and apply basic rules of logarithm in the equation. It made things more clear to me and a lot easier. How it could be applied on solving unknown exponents.
i.e. Solve for x.
So for those who has problems with logarithms. Some teachers don’t stress this enough, and I shall do it in my test blog…
“A LOGARITHM IS AN EXPONENT.”
Always remember that. If you ever get stuck on a log problem, its probably because you’re forgetting what a log is. “IT IS AN EXPONENT.” Never forget it.
Hope this gets me my one mark. =D