Chapter 5 - Exponentials and Logarithms

Question 1

What are the rules of logarithms? (notation)

Answer 1

The laws of logarithms?

x = aⁿ
n = logₐx
n is the log of x to base a.
The inverse of y = aˣ is y = logₐx

Question 2

What are the laws of logarithms?

Answer 2

Laws of Logarithms:

Law 1: logₐ(xy) = logₐx + logₐy
Law 2: logₐ(x/y) = logₐx - logₐy
Law 3: logₐ(xᴷ) = klogₐx

Question 3

What are the two curve fitting rules?

Answer 3

1. y = axⁿ become Y = nX + c. where Y = logy, X = logx, and c = loga
2. y= kbˣ = Y = mx + c, where Y = logy, m = logb and c = logk