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A problem with exponents

  1. Dec 14, 2015 #1
    1. The problem statement, all variables and given/known data
    ##15(5^x-3^x)<16⋅15^{\frac{x}{2}}##

    2. Relevant equations
    Rules of logarithms

    3. The attempt at a solution
    I don't know where to start.

    Here's one way to start rearranging the equation:
    ##5^x-3^x<16⋅15^{\frac{x-2}{2}}##

    What's the correct way to start rearranging?
     
  2. jcsd
  3. Dec 14, 2015 #2

    SammyS

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    I suggest dividing by 3x .

    Added in Edit:
    Then you have one term with ##\displaystyle \ \left(\frac{5}{3}\right)^x \ ## and another with ##\displaystyle \ \left(\frac{5}{3}\right)^{x/2} \ ## , the first being the square of the second.
     
    Last edited: Dec 14, 2015
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