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Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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![### Solve the equation. (Round your answer to four decimal places.)
\[ e^{3.1t} = 9.6 \]
\[ t = \_\_\_\_\_ \]
To solve this equation, take the natural logarithm (ln) of both sides to isolate \( t \):
\[ \ln(e^{3.1t}) = \ln(9.6) \]
\[ 3.1t = \ln(9.6) \]
\[ t = \frac{\ln(9.6)}{3.1} \]
Use a calculator to find the value of \(t\) rounded to four decimal places.](https://content.bartleby.com/qna-images/question/6f516166-4390-4e41-acf6-d563f0703180/58a4c092-4e7c-4475-810d-4ed55e116e42/fzn7n_thumbnail.png)
Transcribed Image Text:### Solve the equation. (Round your answer to four decimal places.)
\[ e^{3.1t} = 9.6 \]
\[ t = \_\_\_\_\_ \]
To solve this equation, take the natural logarithm (ln) of both sides to isolate \( t \):
\[ \ln(e^{3.1t}) = \ln(9.6) \]
\[ 3.1t = \ln(9.6) \]
\[ t = \frac{\ln(9.6)}{3.1} \]
Use a calculator to find the value of \(t\) rounded to four decimal places.
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