Question Prompt: Question Prompt: What is the value of ln(1)?Definition of Natural Logarithm: Understand the definition of the natural logarithm function. The natural logarithm function, denoted as ln(x), is the inverse of the exponential function e^x. It gives the power to which the base e (Euler's number, approximately 2.71828) must be raised to obtain the number x.Apply Definition to ln(1): Apply the definition of the natural logarithm to the value 1. By definition, ln(1) asks for the power to which e must be raised to get 1. Since any number raised to the power of 0 is 1, e^0 = 1.Conclude ln(1): Conclude the value of ln(1). Since e^0 = 1, it follows that ln(1) = 0.

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Algebra 1

Evaluate integers raised to positive rational exponents

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\ln 1

Question Prompt: Question Prompt: What is the value of $\ln(1)$ ?
Definition of Natural Logarithm: Understand the definition of the natural logarithm function. $\newline$ The natural logarithm function, denoted as $\ln(x)$ , is the inverse of the exponential function $e^x$ . It gives the power to which the base $e$ (Euler's number, approximately $2.71828$ ) must be raised to obtain the number $x$ .
Apply Definition to $\ln(1)$ : Apply the definition of the natural logarithm to the value $1$ . By definition, $\ln(1)$ asks for the power to which $e$ must be raised to get $1$ . Since any number raised to the power of $0$ is $1$ , $e^0 = 1$ .
Conclude $\ln(1)$ : Conclude the value of $\ln(1)$ . $\newline$ Since $e^0 = 1$ , it follows that $\ln(1) = 0$ .