1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    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
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted