Logarithms: Solving Logarithmic Equations 5

Error

There was an error loading the page.

Contributors

Ben McGovern

Feedback

From users who are members of MASH Bath: Question Bank :

Ben McGovern

said

Ready to use

3 years, 7 months ago

History

○

Christian Lawson-Perfect 2 years, 6 months ago

Published this.

○

Ben McGovern 3 years, 7 months ago

Gave some feedback: Ready to use

○

Ben McGovern 3 years, 9 months ago

Created this as a copy of Logarithms: Solving Logarithmic Equations 6 - Sum of Logarithms.

Name	Status	Author	Last Modified
Logarithms: Finding x - Using Logarithms	Ready to use	Ben McGovern	10/10/2022 12:47
Logarithms: Solving Logarithmic Equations 6 - Sum of Logarithms	Ready to use	Ben McGovern	10/10/2022 12:54
Logarithms: Solving Logarithmic Equations 5	Ready to use	Ben McGovern	10/10/2022 12:54
CA9 Logs - rules 1	Ready to use	Megan Oliver	09/04/2024 15:43
CA10 Logs - Solving equations using logs	Ready to use	Megan Oliver	09/04/2024 15:40

There are 26 other versions that do you not have access to.

Question statement

Solve for $x$ :

$\log_\var{a}\left(\frac{1}{x}\right) = \var{b}.$

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	7
b	integer	-3
sol	number	343

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..7)

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:

Statement
Advice

Parts

Gap-fill
1. Gap Mathematical expression
  Add

Gap-fill

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

$x=$ Unnamed gap

Advice

Recall that $\log_a(n)=b$ is equivalent to $n=a^b$ .

Therefore,

$\log_\var{a}\left(\frac{1}{x}\right) = \var{b} \quad \implies \quad \frac{1}{x} = \var{a}^\var{b}.$

Hence,

$\frac{1}{x} = \frac{1}{\var{a}^\var{-b}},$

So,

$x=\var{sol}.$

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
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exams:

Logarithms and Exponentials - Calculating Unknowns by Ben McGovern in MASH Bath: Moodle quizzes and TS.
Practice on logarithm by Jinhua Mathias in Maths 3-2020.
All the good stuff by Chris Templet in Chris's workspace.
Quiz 2 by Kate Vincent in Kate's workspace.

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 2 years, 6 months ago

Ben McGovern 3 years, 7 months ago

Ben McGovern 3 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Logarithms: Solving Logarithmic Equations 5

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 2 years, 6 months ago

Ben McGovern 3 years, 7 months ago

Ben McGovern 3 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`