Which logarithmic graph can be used to approximate the value of y in the equation 3y = 7?

Question

Which logarithmic graph can be used to approximate the value of y in the equation 3y = 7?

in progress 0
2022-04-07T13:26:25+00:00 1 Answer 0

Answers ( 1 )

  1. Parker
    0
    2022-04-07T13:27:27+00:00

    we have that
    3^y = 7
    applying log both members
    log(3^y)=log 7
    y*log 3=log 7
    y=log 7/log 3

    using thelogarithmic graph of y=log x

    I graphically determine the values for x = 3 and x = 7

    see the attached figure

    for x=3
    log 3=0.48

    for x=7
    log 7=0.85

    therefore
    y=log 7/log 3—–> y=0.85/0.48—–> y=1.77

    the answer is
    the
    approximate value of y is 1.77

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