A Log Is An Exponent
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Welcome to Precalc!
A Log Is An Exponent
- Hi,
- This is really important stuff.
- This is how growth and decay happen in the real world.
- The computation looks messy, but it follows the
rules of exponents
learned in algebra.
- To "raise to a power" and to "take a root" are
inverse functions, one undoes the other.
- In algebra, you learned y = mx, y = x + x + x + x, ..., + x, m times.
This is called a
linear
function .
- In precalc, you learn y = xm, y = x (x)(x)(x) ... (x), m times.
This is called a
power
function.
- Now in precalc, you learn y = mx, y = m(m)(m)(m) ... (m), x times.
This is called an
exponential
function. The number
e
is most often the base that is used.
- Learn the difference between compounding in different (discrete) time periods and compounding continuously.
- Contact me through the pink box on
www.mathnstuff.com/math/math.htm
- or with the phone number on your class CANVAS home page.
- Stay safe, A2
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