Question

Find the value of y...​

Answer 1

y=0

Explanation:

Rewrite Evaluate Powers:

3
`3^(2y-1)+3^(-1)+2*3^(y)*3^(-1)=1`

Calculate:

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

Solve using substitution:

`(3^(y))^(2)*(1)/(3) +(2)/(3) *3^(y)=1`
`t=3^(y)`

Solve the equation for t:

`t^(2)*(1)/(3)+(2)/(3)t=1`

t=-3

t=1

Substitute back to t=3^y

3^y=-3

3^y=1

y∉R

`3^(y)=1`

y=0