Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Evaluate. Write your answer as a whole number, proper fraction, or improper fraction in simplest form.\newlineln⁡(e)10=\frac{\ln (e)}{10} = ______

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Evaluate natural logarithmsright chevron icon

Full solution

Q. Evaluate. Write your answer as a whole number, proper fraction, or improper fraction in simplest form.\newlineln⁡(e)10=\frac{\ln (e)}{10} = ______
  1. Evaluate expression: We need to evaluate the expression ln⁡(e)10\frac{\ln(e)}{10}. The natural logarithm of ee, denoted as ln⁡(e)\ln (e), is a special value in mathematics. The natural logarithm function is the inverse of the exponential function, so ln⁡(e)\ln(e) is asking for the power to which ee must be raised to get ee. Since ee to the power of 11 is ee, ln⁡(e)\ln(e) equals 11.
  2. Substitute ln⁡(e)\ln(e) value: Now that we know ln⁡(e)\ln(e) equals 11, we can substitute this value into our original expression. So, ln⁡(e)10\frac{\ln(e)}{10} becomes 110\frac{1}{10}.
  3. Simplify fraction: The fraction 110\frac{1}{10} is already in its simplest form. There is no common factor between the numerator and the denominator other than 11, so it cannot be simplified further.

More problems from Evaluate natural logarithms

Question
Write the exponential equation in logarithmic form.\newline93=7299^3 = 729\newlinelog⁡□729=3\log_\square 729 = 3
Get tutor helpright-arrow

Posted 3 months ago

Question
Write the exponential equation in logarithmic form.\newlinee4≈54.598e^4 \approx 54.598\newlineln⁡____≈4\ln\_\_\_\_ \approx 4
Get tutor helpright-arrow

Posted 3 months ago

Question
Write the logarithmic equation in exponential form.\newlinelog⁡10100=2\log_{10}100 = 2\newline102=‾10^2 = \underline{\hspace{2em}}
Get tutor helpright-arrow

Posted 3 months ago

Question
Rewrite as a quotient of two common logarithms. Write your answer in simplest form.\newlinelog⁡333=\log_3 33 = ______
Get tutor helpright-arrow

Posted 3 months ago

Question
Evaluate. Round your answer to the nearest thousandth.\newlinelog⁡550=\log_{5}50 = ____
Get tutor helpright-arrow

Posted 3 months ago

Question
Which property of logarithms does this equation demonstrate? \newlinelog⁡33+log⁡36=log⁡318\log_3 3 + \log_3 6 = \log_3 18\newlineChoices:\newline(A) Product Property\text{Product Property}\newline(B) Power Property\text{Power Property}\newline(C) Quotient Property\text{Quotient Property}
Get tutor helpright-arrow

Posted 3 months ago

Question
Expand the logarithm. Assume all expressions exist and are well-defined.\newlineWrite your answer as a sum or difference of common logarithms or multiples of common logarithms. The inside of each logarithm must be a distinct constant or variable.\newlinelog⁡(uv)\log(uv)\newline_____
Get tutor helpright-arrow

Posted 3 months ago

Question
Expand the logarithm. Assume all expressions exist and are well-defined.\newlineWrite your answer as a sum or difference of common logarithms or multiples of common logarithms. The inside of each logarithm must be a distinct constant or variable.\newlinelog⁡v7\log v^7 \newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Expand the logarithm. Assume all expressions exist and are well-defined.\newlineWrite your answer as a sum or difference of base-66 logarithms or multiples of base-66 logarithms. The inside of each logarithm must be a distinct constant or variable.\newlinelog⁡6w6\log_6 w^6\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Khan Academy\newlineDonate\newlineEvaluating exp \qquad \newlineGoogle Classroom \&iMicrosoft Teams\newlineEvaluate f3+11g−4h f^{3}+11 g-4 h when f=3,g=2 f=3, g=2 and h=7 h=7 .\newline□ \square \newlineRelated content\newlineEvaluating expressions with two variables\newline22:0505
Get tutor helpright-arrow

Posted 21 hours ago

View all (17)