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Final exam review help?

Sole this exponential equation: 2^8x-5 =1/8

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  • 7 years ago
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    2^8x-5 =1/8

    I use the rule that a base raised to a power is equal to base "e" raised to the power multiplied by the natural log of the base, like this:

    e^((8x-5) ln(2)) = 1/8

    Now, take the natural log of both sides:

    (8x-5) ln(2) = ln(1/8)

    8x -5 = ln(1/8) / ln(2)

    8x -5 = -3

    8x = = -3 + 5

    8x = 2

    x = 1/4

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