Simplify e^(-ln 3) Answer:

Use inverse property: We know that e^(ln x) = x for any x > 0, because the exponential function e^x and the natural logarithm ln(x) are inverse functions. This means that e^(ln x) will undo the ln(x), leaving us with just x.Rewrite expression: Applying this property to our expression e^(-ln 3), we can rewrite it as 1/(e^(ln 3)) because a negative exponent indicates a reciprocal.Replace with value: Now, using the property from step 1, we replace e^(ln 3) with 3, so the expression becomes 1/3.

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Simplify $e^{-\ln 3}$ $\newline$ Answer:

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Algebra 2

Simplify variable expressions using properties

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Q. Simplify

e^{-\ln 3}

\newline

Answer:

Use inverse property: We know that $e^{(\ln x)} = x$ for any x > 0, because the exponential function $e^x$ and the natural logarithm $\ln(x)$ are inverse functions. This means that $e^{(\ln x)}$ will undo the $\ln(x)$ , leaving us with just $x$ .
Rewrite expression: Applying this property to our expression $e^{(-\ln 3)}$ , we can rewrite it as $\frac{1}{(e^{(\ln 3)})}$ because a negative exponent indicates a reciprocal.
Replace with value: Now, using the property from step $1$ , we replace $e^{\ln 3}$ with $3$ , so the expression becomes $\frac{1}{3}$ .