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.

$\begin{gathered} \frac{3y}{3}=\frac{2^x+1}{3} \\ y=\frac{2^x+1}{3} \end{gathered}$

We have to separate the fraction.

The standard form is

$y=\frac{2^x}{3}+\frac{1}{3}$

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