Solve a logarithmic equation

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Nigel Atkins

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Nigel Atkins 8 years, 1 month ago

Created this as a copy of Solve a logarithmic equation.

Name	Status	Author	Last Modified
Solve a logarithmic equation	Ready to use	Frank Doheny	24/11/2017 08:15
Solve a logarithmic equation	draft	Nigel Atkins	01/03/2017 13:44
Andrew's copy of Solve a logarithmic equation	draft	Andrew Dunbar	30/06/2017 18:50
ecuacion logaritmica	draft	Ricardo Monge	04/10/2017 14:15
Solve a logarithmic equation	draft	Xiaodan Leng	11/07/2019 01:00
Musa's copy of 3 Solve a logarithmic equation	draft	Musa Mammadov	27/06/2023 01:29

There are 6 other versions that do you not have access to.

Question statement

Calculate the value of $x$ that satisfies the following equation:

$\var{a}log(\var{b}x+\var{c})=\var{d}$

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	7
b	integer	2
c	integer	9
d	integer	4

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

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:

Statement
Advice
"Unnamed part" → "Unnamed gap" - Minimum accepted value
"Unnamed part" → "Unnamed gap" - Maximum accepted value

Parts

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.

Input your answer correct to three decimal places.

$x =$ Unnamed gap

Advice

$\var{a}log(\var{b}x+\var{c})=\var{d}$

Divide across by $\var{a}$

$log(\var{b}x+\var{c})=\var{d}/\var{a}=\simplify{{d}/{a}}$

$\var{b}x+\var{c}=10^{\simplify{{d}/{a}}}$

$\var{b}x+\var{c}=\simplify{10^{{d}/{a}}}$

$\var{b}x=\simplify{10^{{d}/{a}}}-\var{c}$

$\var{b}x=\simplify{10^{{d}/{a}}-{c}}$

$x=\simplify{(10^{{d}/{a}}-{c})/{b}}$

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

This question is used in the following exams:

LS4003 Maths Reassessment 2016-17 by Nigel Atkins in Nigel's workspace.
LS4003 Maths Reassessment 2017-18 by Nigel Atkins in Nigel's workspace.
LS4003 Maths Reassessment 2018-19 by Nigel Atkins in Nigel's workspace.
LS4003 Maths Test 2B (2018-19) by Nigel Atkins in Nigel's workspace.
Maths Test 2B (2019-20) by Nigel Atkins in Nigel's workspace.
LS4003 Maths Reassessment 2019-20 by Nigel Atkins in Nigel's workspace.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

Nigel Atkins 8 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Solve a logarithmic equation

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Nigel Atkins 8 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`