pre calc

find exact solution algebraically and check it by substituting into the original equation.

2(10^-x/3)=20

logtiny4(x-5)=-1

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  1. you probably meant:
    2(10^-(x/3) )=20
    10^(-x/3) = 10 = 10^1 , now you have the same bases, so
    -x/3 = 1
    x = -3

    log4 (x-5) = -1
    by definition:
    x-5 = 4^-1
    x-5 = 1/4 = .25
    x = 5.25
    x = 1029

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