Logarithms: Using the Rules

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Ugur Efem

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3 years, 3 months ago

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Ugur Efem 3 years, 3 months ago

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Created this as a copy of Ugur's copy of Logarithms: Using the Rules BY138.

Name	Status	Author	Last Modified
Adding and Subtracting Logs	Ready to use	Julie Crowley	26/07/2016 12:51
Adding and Subtracting Logs	draft	steve kilgallon	04/08/2016 11:29
Logarithms: Using the Rules	draft	steve kilgallon	04/08/2016 11:28
Adding and Subtracting Logs	draft	Evan Weinberg	25/08/2016 15:29
Logarithms: Using the Rules BY138	draft	steve kilgallon	17/10/2024 11:41
David's copy of Adding and Subtracting Logs	draft	David Martin	30/07/2018 14:22
Simon's copy of Adding and Subtracting Logs	draft	Simon Thomas	04/03/2019 11:06
Blathnaid's copy of Adding and Subtracting Logs	draft	Blathnaid Sheridan	11/03/2019 09:14
Leonardo's copy of Logarithms	draft	Leonardo Juliano	19/09/2019 11:26
Logarithms: Using the Rules	Ready to use	Ugur Efem	12/01/2022 11:44

There are 37 other versions that do you not have access to.

Question statement

Express each of the following as a single logarithm

(Remember that when you see $\log(x)$ we are talking about $\log_{10}(x)$ )

Give any introductory information the student needs.

			Name	Type	Generated Value

f1	integer	2
f2	integer	5
f3	integer	10
f4	integer	4
f5	number	4
ans	number	0.6990
c	number	5
tol	number	0.0001

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..9)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

"Unnamed part" - prompt
"Unnamed part" → "Gap 1." - Correct answer

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Mathematical expression
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

If $\log{\var{f1}} + \log{\var{f3}} - \log{\var{f5}} = \log(c)$ , find c

$c =$ Gap 1.. Input your answer as an integer or a fraction.

Now, compute $\log(c)$ to 4 decimal places

$\log(c) =$ Gap 0.

Advice

Use of the laws of logarithms is crucial here:

$\log{a} + \log{b} = \log{ab}$

$\log{a} - \log{b} = \log{\frac{a}{b}}$

$\log{a^n} = n\log{a}$

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exam:

FY001 - 2021 MOCK A by Ugur Efem in Ugur's workspace.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Ugur Efem 3 years, 3 months ago

Ugur Efem 3 years, 3 months ago

Ugur Efem 3 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Logarithms: Using the Rules

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Ugur Efem 3 years, 3 months ago

Ugur Efem 3 years, 3 months ago

Ugur Efem 3 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`