Please answer fast!!!!! Explain the steps you would use to solve the equation. Find the solution. 8^2x=4096

Question

Please answer fast!!!!!
Explain the steps you would use to solve the equation. Find the solution.
8^2x=4096

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Amity 4 years 2021-07-25T20:10:27+00:00 2 Answers 8 views 0

Answers ( )

  1. thucuc
    0
    2021-07-25T20:11:30+00:00
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    Answer:

    x = 2

    Step-by-step explanation:

    8^{2x} = 4096

    Step 1 :- Write 4096 in the exponential form with the base of 8.

    8^{2x} = 8^4

    Step 2 :- Since the base of both equation is same , set the exponents equal.

    2x = 4

    Step 3 :- Divide both side by 2

    {2x}{2} = \frac{4 }{2}

    x = 2

  2. Delwyn
    0
    2021-07-25T20:11:46+00:00
    Reply

    Answer:

    x = 2

    Step-by-step explanation:

    note that 4096 = 8^{4} , then

    8^{2x} = 8^{4}

    Since bases on both sides are equal, both 8 , then equate the exponents

    2x = 4 ( divide both sides by 2 )

    x = 2

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