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Math Help - Equation - Exponential Function

  1. #1
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    Equation - Exponential Function

    Hello guys.

    I know this must be pretty basic. But, I don't get it.

    How do I solve 0,6 = 0,95^x ?

    This is from an equation. I got up to this point, but I can't finish it. Any help would be appreciated.
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  2. #2
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    earboth's Avatar
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    Quote Originally Posted by Alvy View Post
    Hello guys.

    I know this must be pretty basic. But, I don't get it.

    How do I solve 0,6 = 0,95^x ?

    This is from an equation. I got up to this point, but I can't finish it. Any help would be appreciated.
    1. Use logarithms:

    0,6 = 0,95^x~\implies~x=\log_{0.95}(0.6)

    2. Now use the base-change-formula:

    x=\log_{0.95}(0.6)~\implies~x=\frac{\ln(0.6)}{\ln(  0.95)}

    3. Hint: Better use a decimal point to separate the integer part from the fraction part of a number.
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  3. #3
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by Alvy View Post
    Hello guys.

    I know this must be pretty basic. But, I don't get it.

    How do I solve 0,6 = 0,95^x ?

    This is from an equation. I got up to this point, but I can't finish it. Any help would be appreciated.
    \ln(0.6) = x\ln(0.95)

     x = \frac{\ln(0.6)}{\ln(0.95)}
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