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13 August, 00:09

Solve 5^x=81.2. Round to the nearest ten-thousands.

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  1. 13 August, 00:27
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    Ln (5^x) = ln (81.2)

    xln (5) = ln (81.2)

    x = ln (81.2) / ln (5)

    x = ln (406/5) / ln (5)

    x = ln (406) - ln (5) / ln (5)

    log (ab) = log (A) + log (B)

    ln (2) + ln7 + ln (29 - ln (5) / ln (5)

    x = 2.7320 (4dp)
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