Log equation 1

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Martin Jones

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Ready to use

3 years, 4 months ago

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Martin Jones 3 years, 4 months ago

Published this.

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Martin Jones 3 years, 4 months ago

Gave some feedback: Ready to use

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Martin Jones 3 years, 4 months ago

Created this.

Name	Status	Author	Last Modified
Log equation 1	Ready to use	Martin Jones	09/02/2023 11:09
Log equation 2	Ready to use	Martin Jones	09/02/2023 11:10

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Question statement

Solve the equation

$\simplify{{A}-ln((x+{B})/{C})}=\var{D}$

Give any introductory information the student needs.

			Name	Type	Generated Value

C	integer	9
D	number	7.1
B	integer	3
A	number	9.5
x	number	96.2085874258

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Name

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Value

xxxxxxxxxx
 
random(2..10)

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Description

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

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Generated value: `integer`

→ Used by:

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Number entry
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Gap-fill

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$x=\;$ Unnamed gap

Advice

Starting from the equation:

$\simplify{{A}-ln((x+{B})/{C})}=\var{D}$

Subtract from $\var{A}$ :

$\simplify{ln((x+{B})/{C})}=\var{A}-\var{D}=\var{A-D}$

Take $e$ to the power:

$\simplify{(x+{B})/{C}}=e^\var{A-D}=\var{exp(A-D)}$

Multiply by $\var{C}$ :

$\simplify{x+{B}}=\var{C}\times\var{exp(A-D)}=\var{C*exp(A-D)}$

Add/subtract $\var{abs(B)}$ :

$x=\var{x}$

Rounding to 2 decimal places gives $x=\var{precround(x,2)}$ .

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

This question is used in the following exams:

Tess's copy of Equations involving logs by Tess Lynn in Tess's workspace.
Equations involving logs by Tess Lynn in Glasgow Numbas Question Pool.
Equations involving logs by Martin Jones in Martin's workspace.
Solve equations (incl logs) by Martin Jones in Martin's workspace.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Martin Jones 3 years, 4 months ago

Martin Jones 3 years, 4 months ago

Martin Jones 3 years, 4 months ago

Error in variable testing condition

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Generated value: `integer`

Parts

Gap-fill

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Log equation 1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Martin Jones 3 years, 4 months ago

Martin Jones 3 years, 4 months ago

Martin Jones 3 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`