logarithmic functions 1. How are the functions y = 10' and y = log(x) related? the invase of each othe Y-10° is the invose of flogen 2. List the exact coordinates of four points that lie on the graph of y = log(x). 1.0 1.1) 3. Evaluate the expressions 2 ciated exponential. Set b to 10. log,(49) = 4. Consider the function y = log₂ (x). below. Check your answers in the Gizmo. log,(1) = Jan 210003) log,(81) = 4 1 log:( 8 ) = 3
logarithmic functions 1. How are the functions y = 10' and y = log(x) related? the invase of each othe Y-10° is the invose of flogen 2. List the exact coordinates of four points that lie on the graph of y = log(x). 1.0 1.1) 3. Evaluate the expressions 2 ciated exponential. Set b to 10. log,(49) = 4. Consider the function y = log₂ (x). below. Check your answers in the Gizmo. log,(1) = Jan 210003) log,(81) = 4 1 log:( 8 ) = 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please let me know if these are right
Transcribed Image Text:GAMENOTE
4
Activity C:
Practice with
logarithmic
functions
3
1. How are the functions y = 10° and y = log(x) related? it's the invase of eachothe
is
2. List the exact coordinates of four points that lie on the graph of y = log(x).
(1.0)
(2.1)
100, 2
Evaluate the expressions below. Check your answers in the Gizmo.
2
log,(49) =
Consider the function y = log,(x).
log,(1) =
Get the Gizmo ready:
. Select Show associated exponential.
Set b to 10.
A. What is the value of log,(3)?
B. What is the value of log:(9)?
C. What is the x-intercept of y= log.(x)?
Why? At Log), the yo
A. What function is graphed?
log,(81) =
6. Explain why log(-1) has no solution.
1
2
1
10003)
4
5₁ x=1y=0
D. Use your answers to help sketch the graph of y = log₁(x) on this grid. Click on the graph above
to select EDIT to use the drawing tool. Then check your graph in the Gizmo.
5.
The graph of a logarithmic function is shown here.
Y=logex
B. Give the coordinates of the point on this curve that has (4,2)
a y-value of 2. Check your answers in the Gizmo.
1
log₂ ( 8 ) =
-²
(1, 0)
3
2
(8, 1)
8 10 12
it has no solution because you can't take X+ since the name of the
- graph never exists at AMY Negative values
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