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Math Algebra Equation Problem

Math Algebra Equation Problem - 26 October

Can you find out the value of x in the following equation?

(2^x) (30^3) = (2^3) (3^3) (4^3) (5^3)


For Solution : Click Here

4 comments:

  1. 2*3*5=30, thus $30^{3}=2^{3}*3^{3}*5^{3}$
    so $2^{x}=4^{3}$
    $2^{x}=64$
    x=log2(64)=6

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  2. (2xX) (30x3) = (2x3) (3x3) (4x3) (5x3)
    2X x 90 = 6 x 9 x 12 x 15
    2X = 9720 / 90
    2X = 108
    Therefore X = 54

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  3. (2^x) (30^3) = (2^3) (3^3) (4^3) (5^3)
    split 30 into 2*3*5, now compare ...

    (2^x) ((2*3*5)^3) = (2^3) (3^3) (4^3) (5^3)
    => (2^x) (2^3)(3^3)(5^3) = (2^3) (3^3) (4^3) (5^3)

    so, 2^x = 4^3
    => 2^x = (2^2)^3

    x = 6

    - Sudhanshu Kumar

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