We appreciate your visit to What is the solution to the equation below Round your answer to two decimal places tex 3 cdot e x 11 76 tex A tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
We start with the equation:
$$3 \cdot e^x = 11.76.$$
**Step 1: Isolate the exponential term.**
Divide both sides by 3:
$$e^x = \frac{11.76}{3} = 3.92.$$
**Step 2: Apply the natural logarithm.**
Take the natural logarithm of both sides:
$$\ln(e^x) = \ln(3.92).$$
Since $\ln(e^x) = x$, this simplifies to:
$$x = \ln(3.92).$$
**Step 3: Compute and round the result.**
Evaluating $\ln(3.92)$ gives approximately:
$$x \approx 1.366091653802371.$$
Rounding this to two decimal places:
$$x \approx 1.37.$$
The final answer is $\boxed{1.37}$.
$$3 \cdot e^x = 11.76.$$
**Step 1: Isolate the exponential term.**
Divide both sides by 3:
$$e^x = \frac{11.76}{3} = 3.92.$$
**Step 2: Apply the natural logarithm.**
Take the natural logarithm of both sides:
$$\ln(e^x) = \ln(3.92).$$
Since $\ln(e^x) = x$, this simplifies to:
$$x = \ln(3.92).$$
**Step 3: Compute and round the result.**
Evaluating $\ln(3.92)$ gives approximately:
$$x \approx 1.366091653802371.$$
Rounding this to two decimal places:
$$x \approx 1.37.$$
The final answer is $\boxed{1.37}$.
Thanks for taking the time to read What is the solution to the equation below Round your answer to two decimal places tex 3 cdot e x 11 76 tex A tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
