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16 September, 07:56

Which equation is equivalent to (1/3) ^x = 27 ^x + 2

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  1. 16 September, 08:11
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    Match bases

    remeber if a^b=a^c where a=a then b=c

    remember

    (x^m) ^n=x^ (mn)

    1 / (x^m) = x^-m

    base of 3

    (1/3) ^x = (3^-1) ^x=3^ (-x)

    27^ (x+2) = (3^3) ^ (x+2) = 3^ (3x+6)

    3^ (-x) = 3^ (3x+6)

    -x=3x+6

    0=4x+6

    -6=4x

    -3/2=x
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