Math  /  Algebra

QuestionSolve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution. 2e3x=12942 e^{3 x}=1294
The solution set expressed in terms of logarithms is \square \}. (Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers in the equation. Use In for natural logarithm and log for common logarithm.)
Now use a calculator to obtain a decimal approximation for the solution. The solution set is \square B. (Use a comma to separate answers as needed. Round to two decimal places as needed.)

Studdy Solution
Use a calculator to find the decimal approximation for x x :
Calculate ln(647)\ln(647) and then divide by 3.
ln(647)6.472 \ln(647) \approx 6.472 x6.47232.157 x \approx \frac{6.472}{3} \approx 2.157
Round to two decimal places:
x2.16 x \approx 2.16
The solution set is:
{2.16} \{ 2.16 \}

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord