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Math Help - combining/simplifying logs (part 1)

  1. #1
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    combining/simplifying logs (part 1)



    Heres what i did so far:

    brought the constants in front of the logs into the log as exponents according to the law of log.

    not sure how to proceed from here, since the 3rd part is log_10_Z over 2. Im not sure how to properly take care of such numbers in an equation which is primarily filled with logs. Im posting a similiar question (but perhaps a bit tougher) now.

    Thank you.
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  2. #2
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by Evan.Kimia View Post


    Heres what i did so far:

    brought the constants in front of the logs into the log as exponents according to the law of log.

    not sure how to proceed from here, since the 3rd part is log_10_Z over 2. Im not sure how to properly take care of such numbers in an equation which is primarily filled with logs. Im posting a similiar question (but perhaps a bit tougher) now.

    Thank you.
    \frac{log_{10} Z}{2} = \frac{1}{2}log_{10} Z

    You can treat the half just like the other powera
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  3. #3
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    Ah, thank you. So I would get log_10_((y^-4)(x^3)(Z^1/2))
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  4. #4
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by Evan.Kimia View Post
    Ah, thank you. So I would get log_10_((y^-4)(x^3)(Z^1/2))
    Yes although it would be more proper to write it as log_{10} \left(\frac{x^3 \sqrt{Z}}{y^4}\right)
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