Write the logarithmic equation in exponential form.

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Ask by Cruz Carlson. in the United States

Mar 24,2025

Question

Write the logarithmic equation in exponential form. $$ \ln 6 \approx 1.792 $$ $$ \square^{1.792} \approx 6 $$ Submit

UpStudy AI · Accepted Answer

Given the logarithmic equation
$$
\ln 6 \approx 1.792,
$$
recall that the natural logarithm is defined as the inverse of the exponential function with base $$e$$. That is, if
$$
\ln x = y,
$$
then it is equivalent to
$$
e^y = x.
$$

Substituting $$x = 6$$ and $$y \approx 1.792$$, we have
$$
e^{1.792} \approx 6.
$$
Thus, the completed equation is
$$
\boxed{e^{1.792} \approx 6.}
$$
$$ e^{1.792} \approx 6 $$

Write the logarithmic equation in exponential form.

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Write the logarithmic equation in exponential form. Submit