Question

What is the value of x in the equation below 1+2e^x+1=9

Answer 1

Answer: 1.252

Step-by-step explanation:

We are given this equation and we need to find the value of
`x`:

`1+2e^x+1=9` (1)

Firstly, we have to clear
`x`:

`2e^x=9-1-1`

`2e^x=7`

`e^x=(7)/(2)` (2)

Applying Natural Logarithm on both sides of the equation (2):

`ln(e^x)=ln((7)/(2))` (3)

`xln(e)=ln((7)/(2))` (4)

According to the Natural Logarithm rules
`xln(e)=x`, so (4) can be written as:

`x=ln((7)/(2))` (5)

Finally:

`x=1.252`