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Math Help - solving for t with natural logs

  1. #1
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    solving for t with natural logs

    Hello,
    I am in differential equations, but it always seems that its my algebra that trips me up. Can anybody tell me how to solve for t in the following expression?:

    -8.9 = t - ln(21.34t)

    thanks!!
    - Jeff
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  2. #2
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    Quote Originally Posted by ibanez270dx View Post
    Hello,
    I am in differential equations, but it always seems that its my algebra that trips me up. Can anybody tell me how to solve for t in the following expression?:

    -8.9 = t - ln(21.34t)

    thanks!!
    - Jeff
    This equation doesn't have a real solution:

    1. Consider the RHS of the equation as a function in t.

    2. This function f(t)=t-\ln(21.34 \cdot t) has an absolute minimum at M(1, -2.0606)

    3. The graph of f never intersects the graph of y = -8.9
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  3. #3
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    thanks! that makes a lot of sense. Now I know that I made an error somewhere along the line. Thanks again!

    - Jeff
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