Question

If 3^2+1 =3^x+5. What is the value of x?

Answer 1

Answer: 1.46497352 or 1.5

Explanation:

Complete 3^2 to get 9, then add 1 to get 10

Then subtract 5 from both sides to get
`5=3^x`

Youre gonna have to apply a log rule here to get:

`log_(3)5=x`

You get 1.46497352 or approximately 1.5

Answer 2

`x=1.464974`

Explanation:

`3^2+1 =3^x+5`

`9+1 =3^x+5`

`10 =3^x+5`

`10-5 =3^x`

`5=3^x`

`log(3x)=log(5)`

`x * (log(3))=log(5)`

`x=(log(5))/(log(3))`

`x=1.464974`