Problem 7
Question
Approximate each number using a calculator. Round your answer to three decimal places. $$e^{2.3}$$
Step-by-Step Solution
Verified Answer
The value of \(e^{2.3}\), rounded to three decimal places, is approximately 9.974.
1Step 1: Compute the exponentiation
Initially, input the value of the exponent into your calculator as follows: \(e^{2.3}\). Here, e is Euler's number, approximately equal to 2.71828, and it is raised to the power of 2.3. Most calculators should have a dedicated button for 'e'.
2Step 2: Rounding off the value
After getting the value, round it off to three decimal places. If the fourth decimal is 5 or more, increase the third decimal by 1, otherwise, leave it as it is.
3Step 3: Final answer
The final answer after rounding off to three decimal places should be your desired solution.
Other exercises in this chapter
Problem 7
Use properties of logarithms to expand logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
View solution Problem 7
Write each equation in its equivalent exponential form. $$\log _{6} 216=y$$
View solution Problem 8
Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. $$5^{3 x-1}=125$$
View solution Problem 8
Use properties of logarithms to expand logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
View solution