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 All 1 month 2022-04-07T13:26:25+00:00 2022-04-07T13:26:25+00:00 1 Answer 0

## Answers ( 1 )

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 istheapproximate value of y is 1.77