3. The f-stops on a camera control the amount of light that enters the camera. Let be a measure of the amount of light that strikes the film and let F be the f-stop. Data was analyzed for several f-stops on a camera and the following model was generated: L=2.89ln(F) a) What would be the f-stops if the amount of light striking the film was 10?

To find the f-stops when the amount of light striking the film is 10, we need to solve the equation $L=2.89ln(F)$ for $F$ when $L=10$.<br /><br />Substituting $L=10$ into the equation, we have:<br /><br />$10=2.89ln(F)$<br /><br />Dividing both sides by 2.89, we get:<br /><br />$\frac{10}{2.89}=ln(F)$<br /><br />Exponentiating both sides, we have:<br /><br />$e^{\frac{10}{2.89}}=F$<br /><br />Using a calculator, we find that $e^{\frac{10}{2.89}}\approx 5.24$.<br /><br />Therefore, the f-stop when the amount of light striking the film is 10 is approximately 5.24.