NimratA373366 NimratA373366
  • 29-10-2022
  • Mathematics
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Simplify the expression:1n (e^5/12)Round your answer to two decimal points.

Simplify the expression1n e512Round your answer to two decimal points class=

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SynthiaR23244 SynthiaR23244
  • 29-10-2022

Given:

[tex]\ln (\frac{e^5}{12})[/tex][tex]\ln (\frac{a}{b})=\ln (a)-\ln (b)[/tex]

Then:

[tex]\ln (\frac{e^5}{12})=\ln e^5-\ln 12[/tex]

[tex]\ln a^b=b\ln a[/tex][tex]\begin{gathered} \ln (\frac{e^5}{12})=\ln e^5-\ln 12 \\ =5\ln e-\ln 12 \\ =5(1)-2.4849 \\ =5-2.4849 \\ =2.515 \\ =2.52 \end{gathered}[/tex]

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