Which logarithmic graph can be used to approximate the value of y in the equation 3y = 4?

Asked by maham237 @ 19/12/2020 in Mathematics viewed by 317 People

Answered by maham237 @ 19/12/2020

For the equation $3^y=4$ , we do not need a logarithmic graph. This is because, the equation $3^y=4$ 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:

$3^y=4$

Taking log to the base 10 on both sides will give us:

$y \times log(3)=log(4)$

$\therefore y=\frac{log(4)}{log(3)}$

$y\approx1.262$

The graph of $3^y=4$ 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.

Which logarithmic graph can be used to approximate the value of y in the equation 3y = 4?

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