## THIS USER ASKED π

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

## THIS IS THE BEST ANSWER π

We have that

3 ^ y = 7

log application of both members

log (3 ^ y) = log 7

y * log 3 = log 7

y = log 7 / log 3

using the logarithmic graph of y = log x

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

see 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 estimated value of y is 1.77

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