Logarithms

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Leonardo Juliano 5 years, 6 months ago

Created this as a copy of Simplify logarithms.

Name	Status	Author	Last Modified
Simplify logarithms	Ready to use	Newcastle University Mathematics and Statistics	20/11/2019 14:50
Simplify logarithms	draft	Ida Landgärds	16/04/2018 10:48
Ida's copy of Simplify logarithms	draft	Ida Landgärds	02/05/2018 09:38
Blathnaid's copy of Simplify logarithms	draft	Blathnaid Sheridan	17/10/2019 20:04
Blathnaid's copy of Simplify logarithms	draft	Blathnaid Sheridan	05/10/2018 20:30
cormac's copy of Blathnaid's copy of Simplify logarithms	draft	cormac breen	30/10/2018 15:50
Simplify logarithms	draft	Xiaodan Leng	10/07/2019 22:45
Logarithms	draft	Leonardo Juliano	21/11/2024 13:31
Simplify logarithms	Ready to use	Wan Mekwi	13/10/2020 13:20

There are 21 other versions that do you not have access to.

Question statement

Answer the following question on logarithms.

Give any introductory information the student needs.

			Name	Type	Generated Value

c	integer	7
d	integer	2
f	decimal	dec("4")
s1	integer	-1
s4	integer	1
a1	integer	-5
a2	integer	37
b1	integer	7
b2	integer	9

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..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`

This variable doesn't seem to be used anywhere.

Parts

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

Gap-fill

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

Express the following in terms of $\log_a(x)$ and $\log_a(y)$

$\log_a(x^{\var{a1}}y^{\var{b1}})=\alpha\log_a(x)+\beta\log_a(y)$

$\alpha=\;\;$ Gap 0., $\beta=\;\;$ Gap 1.

Advice

The rules for combining logs are

$\begin{eqnarray*} \log_a(bc)&=&\log_a(b)+\log_a(c)\\ \\ \log_a\left(\frac{b}{c}\right)&=&\log_a(b)-\log_a(c)\\ \\ \log_a(b^r)&=&r\log_a(b) \end{eqnarray*}$

Using these rules gives:

$\begin{eqnarray*} \log_a(x^{\var{a1}}y^{\var{b1}})&=&\log_a(x^{\var{a1}})+\log_a(y^{\var{b1}})\\ &=&\var{a1}\log_a(x)+\var{b1}\log_a(y) \end{eqnarray*}$

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
Number entry
Number entry		Hasn't run yet

This question is used in the following exam:

Logarithms by Leonardo Juliano in BiomedSkills.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Leonardo Juliano 5 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Logarithms

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Leonardo Juliano 5 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`