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Mathematics · May / June 2024 · Paper 21 · Question 3

YMA01

As printed in the paper

The question as text

3. In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.

Read automatically from the paper; the printed page above is exact.

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  • 3(i)[5]

    x

    x

    2

    2

    (

    )

    (

    )

    2log

    2

    −

    →

    log

    2

    −

    2

    4

    log 16

    One correct log law

    x

    x

    or

    →

    2

    2

    2

    Correct attempt to combine two terms

    Correct equation (not involving logs) E.g. (

    2

    )

    2

    16

    (

    10

    )

    −

    x

    =

    x

    +

    2

    (

    )(

    )

    x

    −

    20

    x

    −

    156

    =

    0

    +

    6

    −

    26

    =

    0

    x

    x

    x = − only

    6

  • 3(ii)[1]

    12

    (i)

    B1:

    One correct log law seen or used in relation to the equation e.g.

    2log ...

    →

    2

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