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    IB Math AASL
    /
    Exponents & Logarithms
    /

    Video

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    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Exponents & Logarithms

    Video Reviews

    Watch comprehensive video reviews for Exponents & Logarithms, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Exponent rulesLog lawsExp & Log Functions

    The video will automatically pause when it reaches a problem.

    Definition of the logarithm

    SL Core 1.5

    Logarithms are a mathematical tool for asking "what power of a given base gives a specific value". We write this as

    loga​b=x⇔ax=b.

    Here, a is called the base, and must be positive. The value of x, however, can be any real number.


    Examples

    log5​125 means "what power of 5 makes 125". Since 53=125:

    log5​125=3

    log3​(91​) means "what power of 3 makes 91​". Since 91​=321​=3−2:

    log3​(91​)=−2

    Definition of the logarithm

    SL Core 1.5

    Logarithms are a mathematical tool for asking "what power of a given base gives a specific value". We write this as

    loga​b=x⇔ax=b.

    Here, a is called the base, and must be positive. The value of x, however, can be any real number.


    Examples

    log5​125 means "what power of 5 makes 125". Since 53=125:

    log5​125=3

    log3​(91​) means "what power of 3 makes 91​". Since 91​=321​=3−2:

    log3​(91​)=−2
    Exponent rulesLog lawsExp & Log Functions