Musa's copy of 3 Solve a logarithmic equation

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Musa Mammadov 1 year, 10 months ago

Published this.

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Kerri Morgan was given access to the Musa's copy of 3 Solve a logarithmic equation 2 years, 8 months ago

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Julien Ugon was given access to the Musa's copy of 3 Solve a logarithmic equation 2 years, 8 months ago

○

Musa Mammadov 4 years, 11 months ago

Created this as a copy of Musa's 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

Solve the following logarithmic equations

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	3
b	integer	2
c	integer	9
d	integer	3
a2	integer	5
b2	integer	-5
c2	integer	15
d2	integer	2
a3	integer	6
b3	integer	-7
c3	integer	2
d3	integer	1

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`

This variable doesn't seem to be used anywhere.

Parts

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

Given the following logarithmic equation:

$y=\log_\var{a2} (\var{b2}x+\var{c2}))$

calculate the value of $x$ that satisfies the equation when $y=\var{d2}$ .

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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Musa's copy of 3 Solve a logarithmic equation

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Musa Mammadov 1 year, 10 months ago

Kerri Morgan was given access to the Musa's copy of 3 Solve a logarithmic equation 2 years, 8 months ago

Julien Ugon was given access to the Musa's copy of 3 Solve a logarithmic equation 2 years, 8 months ago

Musa Mammadov 4 years, 11 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Musa's copy of 3 Solve a logarithmic equation

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Musa Mammadov 1 year, 10 months ago

Kerri Morgan was given access to the Musa's copy of 3 Solve a logarithmic equation 2 years, 8 months ago

Julien Ugon was given access to the Musa's copy of 3 Solve a logarithmic equation 2 years, 8 months ago

Musa Mammadov 4 years, 11 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`