Question

See attachment below

Answer 1

Answer: Third Option

`x=1.469743`

Explanation:

We have the following exponential equation

`3^(x+1)=15`

We must solve the equation for the variable x

To clear the variable x apply the
`log_3` function on both sides of the equation

`log_3(3^(x+1))=log_3(15)`

Simplifying we get the following:

`x+1=log_3(15)`

To simplify the expression
`log_3 (15)` we apply the base change property

`log_b(y)=(log(y))/(log(b))`

This means that:

`log_3 (15)=(log(15))/(log(3))`

Then:

`x+1=(log(15))/(log(3))`

`x=(log(15))/(log(3))-1`

`x=1.469743`