Which logarithmic graph can be used to approximate the value of y in the equation 3^y = 7? 20 POINTS
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![Which logarithmic graph can be used to approximate the value of y in the equation 3y 7 20 POINTS class=](https://us-static.z-dn.net/files/dbd/755b6f7b8c63bdfbca5077b88fc48535.png)
Answer with explanation:
The exponential function is
[tex]3^y=7\\\\ \text{taking log on both sides}\\\\y\log3=\log7\\\\y=\frac{\log7}{\log3}\\\\y=\log_{3}7\\\\y=\frac{0.8450}{0.477}\\\\y=1.77[/tex]
It is equation of a line, parallel to X axis.
Drawn the graph of the function , which cuts the y axis at ,(1.77,0).
None of the curve matches with the given Options.