Question

What is the solution to the equation below? Round your answer to two decimal places. 6. ex = 25

Answer 1

Answer:
`x=1.43\text{ \lparen}option\text{ }A)`

Step-by-step explanation:
`\begin{gathered} Given: \\ 6*\text{ e}^x\text{ = 25} \end{gathered}`

To solve for x, we first need to divide both sides by 6:

`\begin{gathered} (6e^x)/(6)\text{ = }(25)/(6) \\ e^x\text{ =}(25)/(6) \\ \\ Take\text{ natural log of both sides:} \\ lne^x\text{ = ln\lparen}(25)/(6)) \end{gathered}`
`\begin{gathered} x\text{ = 1.427} \\ \\ To\text{ 2 decimal place, x = 1.43 \lparen option A\rparen} \end{gathered}`