For the equation [tex] 3^y=4 [/tex], we do not need a logarithmic graph. This is because, the equation [tex] 3^y=4 [/tex] wil give us the value of y to be a constant thus this is a case of a simple horizontal line which does not need any logarithmic graph. This horizontal line will be horizontal to the x axis. This line will represent a constant value.
Let us see what will be the value of the constant. For this we will proceed as follows:
[tex] 3^y=4 [/tex]
Taking log to the base 10 on both sides will give us:
[tex] y \times log(3)=log(4) [/tex]
[tex] \therefore y=\frac{log(4)}{log(3)} [/tex]
[tex] y\approx1.262 [/tex]
The graph of [tex] 3^y=4 [/tex] is attached. Please check the attachment. As you will see it will be a line horizontal to the x axis, at a constant distance of about 1.262 from the x axis.
Thus, it will not require a logarithmic graph. A normal graph would do.
