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12 August, 16:59

The value of x in the equation 4^ (2x+5) = 8^ (3x)

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  1. 12 August, 17:29
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    4 (²ˣ ⁺ ⁵) = 8³ˣ

    But 4 = 2² and 8 = 2³

    4 (²ˣ ⁺ ⁵) = 8³ˣ

    (²ˣ ⁺ ⁵) = (2³) ³ˣ

    Multiply out the powers, also since the

    2⁴ˣ ⁺ ¹⁰ = 2⁹ˣ

    Since the bases are the same, hence the powers are also the same.

    4x + 10 = 9x

    4x - 9x = - 10

    -5x = - 10

    x = - 10/-5

    x = 2

    Hope this explains it.
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