Write the exponential equation in logarithmic form. e^4 ≈ 54.598 ln____ ≈ 4

Identify base, exponent, and result: Identify the base (b), the exponent (y), and the result (x) in the exponential equation e^4 ≈ 54.598. In this case, the base b is e (the base of natural logarithms), the exponent y is 4, and the result x is approximately 54.598.Convert to logarithmic form: Convert the exponential equation to logarithmic form. The exponential equation e^y = x can be rewritten in logarithmic form as ln(x) = y, where ln denotes the natural logarithm (logarithm with base e). Therefore, the logarithmic form of e^4 ≈ 54.598 is ln(54.598) ≈ 4.

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Convert the exponential equation in logarithmic form. $\newline$ $e^4 \approx 54.598$

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Algebra 2

Convert between natural exponential and logarithmic form

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Q. Convert the exponential equation in logarithmic form.

\newline

e^4 \approx 54.598

Identify base, exponent, and result: Identify the base ( $b$ ), the exponent ( $y$ ), and the result ( $x$ ) in the exponential equation $e^4 \approx 54.598$ . $\newline$ In this case, the base $b$ is $e$ (the base of natural logarithms), the exponent $y$ is $4$ , and the result $x$ is approximately $54.598$ .
Convert to logarithmic form: Convert the exponential equation to logarithmic form. $\newline$ The exponential equation $e^y = x$ can be rewritten in logarithmic form as $\ln(x) = y$ , where $\ln$ denotes the natural logarithm (logarithm with base $e$ ). $\newline$ Therefore, the logarithmic form of $e^4 \approx 54.598$ is $\ln(54.598) \approx 4$ .