`-14 + 3e^x = 11` Solve the exponential equation algebraically. Approximate the result to three decimal places.

1 Answer

Educator Approved

Educator Approved
loves2learn's profile pic

loves2learn | (Level 3) Salutatorian

Posted on

Add 14 to both sides

`3e^x=25 `

Divide by 3

`e^x=25/3 `

Take the ln of both sides and bring down the exponent

`xlne=ln(25/3) `

Simplify,

`x=2.120 `