Simplify ln(1) Answer:

Question Prompt: Question prompt: What is the value of ln(1)?Recall Definition: Recall the definition of the natural logarithm function. The natural logarithm function ln(x) is the inverse of the exponential function e^x. Therefore, ln(e^x) = x and e^(ln(x)) = x.Apply Definition: Apply the definition to ln(1). Since e^0 = 1, it follows that ln(1) = 0 because ln(e^0) = ln(1) = 0.Check for Errors: Check for any mathematical errors. There are no mathematical errors in the previous steps. The properties of the natural logarithm have been correctly applied.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify $\ln (1)$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Precalculus

Add, subtract, multiply, and divide complex numbers

Full solution

Q. Simplify

\ln (1)

\newline

Answer:

Question Prompt: Question prompt: What is the value of $\ln(1)$ ?
Recall Definition: Recall the definition of the natural logarithm function. The natural logarithm function $\ln(x)$ is the inverse of the exponential function $e^x$ . Therefore, $\ln(e^x) = x$ and $e^{\ln(x)} = x$ .
Apply Definition: Apply the definition to $\ln(1)$ . $\newline$ Since $e^0 = 1$ , it follows that $\ln(1) = 0$ because $\ln(e^0) = \ln(1) = 0$ .
Check for Errors: Check for any mathematical errors. $\newline$ There are no mathematical errors in the previous steps. The properties of the natural logarithm have been correctly applied.