()) Write the exponential equation in logarithmic form

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Ask by Crawford Hilton. in the United States

Mar 24,2025

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()) Write the exponential equation in logarithmic form $$ e^{3} \approx 20.086 $$ $$ \ln 20.086 \approx $$ Submit

UpStudy AI · Accepted Answer

1. Begin with the exponential equation:
   $$
   e^3 \approx 20.086
   $$

2. Rewrite the exponential equation in logarithmic form by taking the natural logarithm of both sides:
   $$
   \ln\left(e^3\right) \approx \ln\left(20.086\right)
   $$

3. Use the logarithmic identity $$ \ln\left(e^3\right) = 3 $$ (since $$ \ln(e) = 1 $$):
   $$
   3 \approx \ln\left(20.086\right)
   $$

4. Therefore, the logarithmic form is:
   $$
   \ln 20.086 \approx 3
   $$
The logarithmic form of the equation $$ e^{3} \approx 20.086 $$ is $$ \ln 20.086 \approx 3 $$.

()) Write the exponential equation in logarithmic form

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()) Write the exponential equation in logarithmic form Submit