Evaluating Logarithms Without Calculator

Discussion in 'Other Pre-University Math' started by nycmathguy, Oct 14, 2021.

  1. nycmathguy

    nycmathguy

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    Section 3.2
    Question 16


    20211013_083801.jpg

    How is 16 done without a calculator?
     
    nycmathguy, Oct 14, 2021
    #1
  2. nycmathguy

    MathLover1

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    f(x)=log (25, x) x=5

    f(x)=log (25, 5)
    f(x)= log(5)/log(25)
    f(x)= log(5)/log(5^2)
    f(x)= log(5)/(2log(5)).........simplify
    f(x) = 1/2
     
    MathLover1, Oct 14, 2021
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  3. nycmathguy

    nycmathguy

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    Let me see if I can do 18.

    f(x) = log x, where x = 10.

    f(x) = (10, 10)

    f(x) = log (10)/log (10)

    f(x) = 1/1

    f(x) = 1
     
    nycmathguy, Oct 14, 2021
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