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  • Perplex
    IB Math AAHL
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    Exponents & Logarithms
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    Exponents & Logarithms

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    Thumbnail for Exponential Algebra

    Exponents, properties of exponents, and solving exponential equations

    Exponential Algebra
    Thumbnail for Radicals and Roots

    Nth roots, fractional and rational exponents, conjugates.

    Radicals and Roots
    Thumbnail for Logarithm algebra

    Definition and evaluation of logarithms, properties of logs, e and the natural log, change of base rule

    Logarithm algebra
    Thumbnail for Exp & Log functions

    Graphing exponential functions, exponential growth and decay, logarithmic inverse functions.

    Exp & Log functions (Plus Only)

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    IB: 4
    1

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    Solve for x and y in the following system of equations:


    ⎩⎨⎧​ln(xy2)=7ln(xy​)=13​
    [5]
    2

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    Solve for x in the equation 15−3x=274−x, giving your answer in terms of ln3 and ln5.

    [4]
    3

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    Solve the equation 4lnx=ln81−8.

    [5]
    4

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    Solve the equation 154−3x=92x, giving your answer in terms of ln3 and ln5.

    [5]
    5

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    6

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    7

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    8

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    9

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