Find the value of x for Which 5/3^-4*5/3^-5=5/3^3x​

Question

Find the value of x for Which
5/3^-4*5/3^-5=5/3^3x​

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Adeline 1 month 2021-08-17T03:52:18+00:00 1 Answer 0 views 0

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    2021-08-17T03:54:10+00:00

    Answer:

    x = – 3

    Step-by-step explanation:

    ( {\frac{5}{3} )}^{ - 4}  \times ( {\frac{5}{3} )}^{ - 5}  = ( {\frac{5}{3} )}^{ 3x}

    ( {\frac{5}{3} )}^{ - 4  - 5}  = ( {\frac{5}{3} )}^{ 3x}

    ( {\frac{5}{3} )}^{ - 9}  = ( {\frac{5}{3} )}^{ 3x}

    Since the bases are same,

     - 9 = 3x

    x =  \frac{ - 9}{3}

    x =  - 3

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