Andrew's copy of Numerical skills Solving Logarithms

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Andrew Dunbar

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Andrew Dunbar 7 years, 8 months ago

Created this as a copy of Numerical skills Solving Logarithms .

Name	Status	Author	Last Modified
Solving Logarithms	Ready to use	joshua boddy	01/06/2016 09:47
Numerical skills - Solving Logarithms	Ready to use	Jinhua Mathias	28/08/2024 12:15
Numerical skills - Solving Logarithms summative	Ready to use	Jinhua Mathias	28/08/2024 12:15
Numerical skills Solving Logarithms	draft	Jinhua Mathias	27/08/2024 16:37
Solving Logarithms for Geosciences	Ready to use	Jinhua Mathias	27/08/2024 16:37
Andrew's copy of Numerical skills Solving Logarithms	draft	Andrew Dunbar	30/06/2017 22:04
Solving Logarithms for Geosciences	draft	Xiaodan Leng	11/07/2019 05:11
Solving Logarithms	draft	Xiaodan Leng	11/07/2019 06:36

There are 10 other versions that do you not have access to.

Question statement

Solve these equations for x, give your answer as integer or fraction.

Give any introductory information the student needs.

			Name	Type	Generated Value

a1	number	12
a2	integer	6
a3	rational	3
a4	integer	2
b1	integer	3
b2	integer	5
b3	integer	3
b4	integer	2
c1	integer	3
c2	integer	15
c3	integer	4
c4	integer	7
c5	integer	2
a	integer	8
b	integer	12
d1	integer	2
d2	integer	2
d3	integer	96
d4	integer	20

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
2a2^((a4)-1)

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: `number`

← Depends on:

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) Gap-fill
1. Gap Number entry
  Add

Gap-fill

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

$\log_\var{a2}\var{a3}+\log_\var{a2}x = \var{a4}$

$x=$ Unnamed gap

Advice

We want to solve for x. After simplifying, in each case we end up with $\log_a{f(x)} = b$ , so we raise both sides as a power of $a$ to get $a^{\log_a{f(x)}} = a^b$ which simplifies (by laws of logarithms) to $f(x)=a^b$ . We then solve for x accordingly.

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.

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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
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exam:

MTH2118 -Coursework Exam by Andrew Dunbar in Andrew's workspace.

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Andrew's copy of Numerical skills Solving Logarithms

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Andrew Dunbar 7 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `number`

Parts

Gap-fill

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Error

Andrew's copy of Numerical skills Solving Logarithms

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Andrew Dunbar 7 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: number

Parts

Gap-fill

Generated value: `number`