Find the value of x for which (2)^3x = 8^2.​

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Find the value of x for which (2)^3x = 8^2.​

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Mít Mít 4 years 2021-08-06T14:01:22+00:00 1 Answers 14 views 0

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  1. thuhuong
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    2021-08-06T14:02:24+00:00
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    Answer:

    x = 2

    Step-by-step explanation:

    Using the rule of exponents

    (a^m)^{n} = a^{mn}

    (2)^{3x} = 2^{3x} and 8 = (2³ )² = 2^{6} , so

    2^{3x} = 2^{6}

    Since the bases on both sides are equal, both 2, equate the exponents

    3x = 6 ( divide both sides by 3 )

    x = 2

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