ATC Logarithm Function Worksheet

1. [-15.55 Points]DETAILS
OSCOLALG1 6.3.124.TUT.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
How is the logarithmic function f(x) = log (x) related to the exponential function g(x) = 7*?
The logarithm function is the —Select—
v of the exponential function.
What is the result of composing these two functions and fully simplifying the result?
Tutorial
Additional Materials
eBook
• Introduction to Logarithms
https://www.webassign.net/web/Student Assignment-Responses/last?dep=28280357
1. [-15.55 Points]
DETAILS
OSCOLALG1 6.3.124.TUT.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
How is the logarithmic function f(x) = log (x) related to the exponential function g(x) = 7*?
The logarithm function is the —Select—
v of the exponential function.
What is the result of composing these two functions and fully simplifying the result?
Tutorial
Additional Materials
eBook
• Introduction to Logarithms
https://www.webassign.net/web/Student Assignment-Responses/last?dep=28280357
22_SPR_HYB and ONL, section CRN 42360 Page, Spring 2022 | Web
Rewrite the logarithmic equation as an exponential equation. (Assume u > 0.)
log3 u = 4
1
Tutorial
Rewrite the equation in exponential form.
log (16) = y
Additional Materials
• eBook
• Introduction to Logarithms
• Example Video
Write in logarithmic form.
13 = 31
Tutorial
Rewrite the equation in logarithmic form.
m-5=n
Additional Materials
• eBook
• Introduction to Logarithms
• Example Video
380 Page, Spring 2022 IV
Rewrite the equation in logarithmic form.
(1)”
=n
A
Additional Materials
• eBook
• Introduction to Logarithms
Example
Video
Solve for x.
In x= 2
X=
Tutorial
Solve for x by converting the logarithmic equation to exponential form.
loga(x) = -1
–
2
X=
=
Additional Materials
• eBook
• Introduction to Logarithms
ago, opinig
Solve for x by converting the logarithmic equation to exponential form.
logs(x) = -3
Additional Materials
eBook
Introduction to Logarithms
Use the definition of common and natural logarithms to simplify.
log(1006)
Additional Materials
• eBook
• Introduction to Logarithms
• Learn by Example
Find the value of the expression without using a calculator.
log/()
Tutorial
Evaluate the logarithm.
9 log33
Tutorial
Evaluate the logarithm.
logs 625
Tutorial
Use properties of exponents and logarithms to evaluate the expression as a rational number.
log3 V 243
Tutorial
https://www.webassign.net/web/Student Assignment-Responses/last?dep=28280357
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3/28/22, 4:58 PM
Section 6.3 Logarithmic Functions – Math 1111_2022_SPR_HYB and ONL, section CRN 42360 Page, Spring 2022 | WebAssign
Evaluate the expression using a calculator. Round to the nearest thousandth.
In(13)
Additional Materials
• eBook
• Introduction to Logarithms
The exposure index El for a 35 millimeter camera is a measurement of the amount of light that hits the film. It is determined by the
f2
equ cion El = log2 where fis the “f-stop” setting on the camera, and t is the exposure time in seconds. Suppose the f-stop setting is
16 and the desired exposure time is 2 seconds. What will the resulting exposure index be?
EI =
)
Additional Materials
• eBook
Introduction to Logarithms
Learn by Example
About how many times more intense is an earthquake that measures 8.8 on the Richter scale than an earthquake that measures 7.9 on the
Richter scale? Recall that Richter defined the magnitude R of an earthquake of intensity I to be R = log I. (Round your answer to two
decimal places.)
Tutorial
The intensity levels 1 of two earthquakes measured on a seismograph can be compared by the formula 10g(.) = M. – M2 where M is the
I log
–
magnitude given by the Richter scale. An earthquake of magnitude 6.2 hit a city. Two years later, that same region experienced yet another
more devastating earthquake, this time with a magnitude of 9.0. How many times greater was the intensity of the second earthquake?
Round to the nearest whole number.
times greater
Additional Materials
• eBook
• Introduction to Logarithms
• Learn by Example
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