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6 November, 01:49

27^x=1/9 find the value of x with steps

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  1. 6 November, 02:06
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    x = - 2/3

    Step-by-step explanation:

    27^x=1/9

    writing 27 as 3^3 and 1/9 as 3 ^-2

    3^3^x = 3^-2

    We know that a^b^c = a^ (b*c)

    3^ (3x) = 3^-2

    Since the bases are the same the exponents need to be the same

    3x = - 2

    x = - 2/3
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