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evaluate without using a calculator
[log(5)4 x log(2)10 ]/ [log(25)√10]

  • math -

    converting to base 10 logs, we have

    (log4/log5 * 1/log2)/(log √10 / log25)
    = (log4/(log5 log2)) * 2log5 / (1/2)
    = log4 log10 log25 / log2 log5 log√10
    = (4 log2 log5) / (1/2 log2 log5)
    = 8

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