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Math Help - Logarithmic Equation

  1. #1
    Member
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    Logarithmic Equation

    Did I do solve the following equation properly using the laws of logs + exponentials?

    Solve:
    log_5(log_4(log_3x)) = 1


    My Work:
    log_5(log_4(log_3x)) = 5^{log_5(log_4(log_3x))} = log_4(log_3x) = 5^{1} = 5

    (log_4(log_3x) = 4^{log_4(log_3x)} = 4^{5} = 1024

    log_3x = 3^{log_3x} = x = 3^{1024}


    Answer: 3^{1024}
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    That's correct.
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