Steve S. answered • 03/18/14

Tutor

5
(3)
Tutoring in Precalculus, Trig, and Differential Calculus

Eric's explanation is confusing because of the typos in it.

So let me try:

f(x) = log(x)

g(x) = log(10x) = log(10^1) + log(x) = log(x) + 1 = f(x) + 1

h(x) = log(100x) = log(10^2) + log(x) = log(x) + 2 = f(x) + 2

So g is f shifted up 1 and h is f shifted up 2.

Eric also explained dilation ("Honey, I shrunk the kids!"), but that's not needed for this problem.

Here’s a GeoGebra graph of the three functions:

http://www.wyzant.com/resources/files/265623/logs_translated