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Math Help - Quick Logarithm Equation

  1. #1
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    Quick Logarithm Equation

    How do you solve for x in log_5 x^4=2.5?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by chrozer View Post
    How do you solve for x in log_5 x^4=2.5?
    \log_5 x^4 = 2.5 \Longleftrightarrow 5^{2.5} = x^4
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    Quote Originally Posted by Jhevon View Post
    \log_5 x^4 = 2.5 \Longleftrightarrow 5^{2.5} = x^4
    How would you find the value of x though?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by chrozer View Post
    How would you find the value of x though?
    take the fourth root of both sides, of course
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    Quote Originally Posted by Jhevon View Post
    take the fourth root of both sides, of course
    Ok. Thnx!
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by chrozer View Post
    Ok. Thnx...but how would you enter the fourth root of a value on a TI calculator?
    there are several ways. i don't have a TI so let's do it the safe way. to take the fourth root means to raise to the 1/4 power.

    so, 5^{2.5} = x^4 \implies \pm (5^{2.5})^{1/4} = (x^4)^{1/4}
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