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Use your knowledge of exponents to solve.

a) 1/2^x=1/(x+2)

b) 1/2^x>1/x^2

So I know that these functions are rational functions.. and I am trying to solve for x. I tried to solve them by I keep getting stuck with the exponent 2 which is the exponential function.. Help please

  • Math -

    a) the first one is solved by inspection, x=0 is the only solution.
    b) the second is solved by inspection, if x=2 the sides are equal, so then try on each side. If x=1 or x=3, is it true?

    at x=1
    1/2?>1 False, so x cannot be <2
    at x=3
    1/8?>1/9 True, so x>2

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