Logarithms: Solving Logarithmic Equations 4

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Ben McGovern

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3 years, 8 months ago

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Christian Lawson-Perfect 2 years, 7 months ago

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Ben McGovern 3 years, 8 months ago

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Ben McGovern 3 years, 10 months ago

Created this as a copy of Logarithms: Solving Logarithmic Equations 3.

Name	Status	Author	Last Modified
Logarithms: Solving Logarithmic Equations 1	Ready to use	Ben McGovern	10/10/2022 12:53
Logarithms: Solving Logarithmic Equations 2	Ready to use	Ben McGovern	10/10/2022 12:54
Logarithms: Solving Logarithmic Equations 3	Ready to use	Ben McGovern	10/10/2022 12:53
Logarithms: Solving Logarithmic Equations 4	Ready to use	Ben McGovern	10/10/2022 12:54
CA8 Logs - definition	Ready to use	Megan Oliver	17/04/2025 09:02

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Question statement

Find the value of $x$ :

$\log_x \left(\simplify[fractionNumbers]{1/sqrt({a})}\right) = \frac{1}{2}$

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integer

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Generated value: `integer`

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1. Gap Mathematical expression
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$x=$ Unnamed gap (Give your answer as a fraction where necessary.)

Advice

To find the value of $x$ , recall that $\log_x(a)=b$ is equivalent to $x^b=a$ .

Therefore,

$\log_x\left(\simplify{1/sqrt({a})}\right) =\frac{1}{2}\quad \implies \quad x^\frac{1}{2} = \frac{1}{\sqrt{\var{a}}} \,.$

Hence,

$x=\frac{1}{\var{a}}\,.$

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Taxonomy: mathcentre

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Christian Lawson-Perfect 2 years, 7 months ago

Ben McGovern 3 years, 8 months ago

Ben McGovern 3 years, 10 months ago

Error in variable testing condition

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Generated value: `integer`

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Logarithms: Solving Logarithmic Equations 4

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 2 years, 7 months ago

Ben McGovern 3 years, 8 months ago

Ben McGovern 3 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`