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Math Help - 2^x≤ 3^x

  1. #1
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    2^x≤ 3^x

    Express as an integer the smallest real number x such that
    2^x 3^x
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by yoman360 View Post
    Express as an integer the smallest real number x such that
    2^x 3^x
    by inspection, x = 0 is the smallest integer for which this works.

    you can compute this by trying to solve the inequality (take the log of both sides to solve it, then take the smallest integer value in your solution set)
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  3. #3
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by yoman360 View Post
    Express as an integer the smallest real number x such that
    2^x 3^x
    if it has to be an integer then 0.

    can't be negative because the \frac{1}{a^n}>\frac{1}{b^n} when n>0 and a<b.
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  4. #4
    Super Member dhiab's Avatar
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    HELLO : This anathor resolution
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