if 8powerX=0.25, then find the value of x.​

Question

if 8powerX=0.25, then find the value of x.​

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Eliza 2 weeks 2021-11-25T03:18:07+00:00 2 Answers 0 views 0

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    0
    2021-11-25T03:19:26+00:00

    Answer:

    8 {}^{x}  = 0.25

    8 {}^{x}  = (0.5) {}^{2}

    x = 2

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    0
    2021-11-25T03:19:34+00:00

    Answer:

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    Step-by-step explanation:

    I am given that 8^x=0.25=1/4.

    Let’s take log on both sides.

    8*log(X) = -log(4)

    By taking log we have skipped the cases of X being negative…

    So let’s solve for 8log(|8|)=-log(4) = -2log2 and will check the solutions of this equation in the original equation 8^x=1/4

    8log(|8|)=-2log(|-2|)

    On comparing the 2 sides, we get X=-2 as one solution.

    Let’s check in the equation 8^x=1/4

    (-2 )^(-2)=1/(-2)^2=1/4

    Perfect!!

    Therefore the solution is X=-2

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