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Math Help - How to get the exponent!!!

  1. #1
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    How to get the exponent!!!

    Find n in the equation, 1 - (12/54)^n = 0.95
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  2. #2
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    Quote Originally Posted by littlesohi View Post
    Find n in the equation, 1 - (12/54)^n = 0.95
    add \left(\frac{12}{54}\right)^n to both sides

    1=0.95+\left(\frac{12}{54}\right)^n

    subtract 0.95 from both sides

    1-0.95=\left(\frac{12}{54}\right)^n

    take logarithms of both sides

    log0.05=log\left(\frac{12}{54}\right)^n

    utilise log laws

    log0.05=n(log12-log54)

    n=\frac{log0.05}{log12-log54}
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