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Compare the functions $f(x)=x^{0.1}$ and $g(x)=\ln x$ by graphing both $f$ and $g$ in several viewing rectangles. When does the graph of $f$ finally surpass the graph of $g ?$

$x \approx 3.43 \times 10^{15}$

Calculus 1 / AB

Chapter 1

Functions and Sequences

Section 5

Logarithms; Semilog and Log-Log Plots

Functions

Missouri State University

University of Michigan - Ann Arbor

Idaho State University

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

02:19

Compare the functions $ f(…

00:21

Compare the functions $f(x…

01:59

Compare the graph of $g(x)…

02:54

04:47

00:32

Graph $f$ and $g$ in the s…

00:19

Graph $f$ and g in the sam…

00:28

00:31

00:13

in these rip We're off year degree percents eggs. The power of zero point one was O R. As you can see well are rough, But, uh, our approximation is like saying that that it is the line. Well, why equals one? That is true because, uh and he bought any point. The 40 is one so sort of dysfunction. You're gonna be very approximate that line. Also, as you can see, they have this local. That function is very reasonable. Well, what role or even Lisa is, uh, is slowly increasing fortune. But all these bonus also was on you as it got you here. Follow you. 00 t. Like their own or all three. Not the only way we'll fix becomes every year the mixed lee she won, But far beyond there this slope here. So we're, uh, what this means in terms of differential. Calculus is taking day. They're ready. Is that will be It's more than others. Look, these were Well, it's for some point for being there, But they're right

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