Logarithms

Question

Given that log3 to the base 2=1.58. Find log81 to the base 16 without using calculators??

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Mathematics Rammy 1 year 3 Answers 439 views 0

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Answers ( 3 )

  1. log81 base 16= (log81 base 2/ log16 base 2) //Change of base
    log81 base 2= 4log3 base 2= 4(1.58)
    log16 base 2= 4log2 base 2= 4(1)
    THIS IMPLIES log81 base 16= 4(1.58)/ 4(1)= 1.58

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