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3 January, 10:05

Explain the steps you would use to solve the equation. Find the solution.

8^2x = 4096

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  1. 3 January, 10:20
    0
    x = 2

    Step-by-step explanation:

    To solve this we will follow the step below;

    8^2x = 4096

    Simply find 8 to the power of what number will give 4096 at the left-hand side of the equation

    8⁴ = 4096

    Substitute 8⁴ by 4096 at the right hand side of the equation

    8²ˣ = 8⁴

    The 8 at the right-hand side will cancel-out the 8 at the left-hand side

    2x = 4

    Divide both-side of the equation by 2

    2x/2 = 4/2

    x=2

    The solution is x = 2
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