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Math Help - Leave the following in terms of Lambda_3I

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    Leave the following in terms of Lambda_3I




    I need to have this formula in terms of Lambda_3i
    Can anyone help me with this?

    T.I.A.
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    Re: Leave the following in terms of Lambda_3I

    Quote Originally Posted by Diggler View Post



    I need to have this formula in terms of Lambda_3i
    Can anyone help me with this?

    T.I.A.
    Exponentiate both sides...
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    Re: Leave the following in terms of Lambda_3I

    Thank you. Any chance of a solution?
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    Re: Leave the following in terms of Lambda_3I

    Quote Originally Posted by Diggler View Post
    Thank you. Any chance of a solution?
    What you want is one step away from what you have, so you have been given the solution already.
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    Re: Leave the following in terms of Lambda_3I

    Now I know why this smiley is here

    You know what they say about small steps and mankind, don't you?

    That's right, those that take small steps, have short legs ...

    Okay, I can see that you're giving me a gentle nudge to think for myself ...

    I will have a bash at it ...
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    Re: Leave the following in terms of Lambda_3I

    Any good?


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    Re: Leave the following in terms of Lambda_3I

    \log_b a=x \iff b^x=a
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    Re: Leave the following in terms of Lambda_3I

    The part that I'm struggling with is:

    log (lambda_3i)

    If (lambda_3i) is the base, then what and where is 'a' ?
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    Re: Leave the following in terms of Lambda_3I

    It seems unlikely that \lambda_{3i} is the base.

    When a log is written just as log it will be intended to be either base 10 or base e.
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    Re: Leave the following in terms of Lambda_3I

    Is this the one?

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    Re: Leave the following in terms of Lambda_3I

    Quote Originally Posted by Diggler View Post
    Is this the one?

    If it's \displaystyle \begin{align*} \log_{10} \end{align*} then you should be making 10 the base of the exponential.

    If it's \displaystyle \begin{align*} \log_e \end{align*} then you should be making e the base of the exponential.
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    Re: Leave the following in terms of Lambda_3I

    Yes, silly mistake. Just for completeness, I will re-post my workings.

    Thank you for your time and patience.


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    Re: Leave the following in terms of Lambda_3I

    Quote Originally Posted by Diggler View Post
    Yes, silly mistake. Just for completeness, I will re-post my workings.

    Thank you for your time and patience.


    Correct. You could simplify this using an index law if you wished.
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    Re: Leave the following in terms of Lambda_3I

    I would appreciate your guidance with this ...


    ... thinking

    ... initial thoughts



    I don't think the above is appropriate, as we're not multiplying or dividing ...

    ... thinking
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    Re: Leave the following in terms of Lambda_3I

    I'm thinking something along these lines ...

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