Question

2x=3y-1x is the exponent please helpdetermine if it is linear or not and write answer in standard form identify a b c

Answer 1

The given equation is

`2^x=3y-1`

This equation is exponential because the independent variable x is an exponent. In other words, the equation is not linear.

Now, to express the equation in standard form, we have to isolate y.

First, we sum 1 on each side.

`\begin{gathered} 2^x+1=3y-1+1 \\ 3y=2^x+1 \end{gathered}`

Then, we divide the equation by 3.

`\begin{gathered} (3y)/(3)=(2^x+1)/(3) \\ y=(2^x+1)/(3) \end{gathered}`

We have to separate the fraction.

The standard form is

`y=(2^x)/(3)+(1)/(3)`

Where a = 1/3, b = 2, and c = 1/3.