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Thread: Proof by mathematical induction

  1. #1
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    Proof by mathematical induction

    Before we start, my textbook declares lgn as base two.

    I only have one question, how did log2 become n (both highlighted in yellow in the picture)? This is the correct answer according to the book.
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  2. #2
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    Re: Proof by mathematical induction

    never mind i got it.
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  3. #3
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    Re: Proof by mathematical induction

    $\displaystyle \begin{align*} \log_2{(2)} = 1 \end{align*}$, so when multiplying everything in the brackets by n that term becomes n.
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