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Chemistry 8 Online
OpenStudy (maheshmeghwal9):

Find: -

OpenStudy (maheshmeghwal9):

\[\ln |3e^{5i+2}\times7e^{{-2i}}|.\]

OpenStudy (unklerhaukus):

\[\ln |3e^{5i+2}\times7e^{{-2i}}|\] \[=\ln |21e^{3i+2}|\] \[=\ln|21|+\ln |e^{3i+2}|\] \[=\ln|21|+3i+2\]

OpenStudy (vincent-lyon.fr):

\(=2+\ln21=2+\ln3+\ln7\) 3i is not in the answer.

OpenStudy (maheshmeghwal9):

how sir @Vincent-Lyon.Fr

OpenStudy (maheshmeghwal9):

& ur answer is also correct:)

OpenStudy (vincent-lyon.fr):

For any complex number written as : \(\Large re^{i\theta}\) with r positive real number, then \(\Large |re^{i\theta}|=r\)

OpenStudy (maheshmeghwal9):

ya sir but how will we get '2' in the answer?

OpenStudy (maheshmeghwal9):

@Vincent-Lyon.Fr Plz:)

OpenStudy (maheshmeghwal9):

k! k! i got that. thanx:)

OpenStudy (vincent-lyon.fr):

\(\ln{e^2}=2\ln e=2\times1=2\)

OpenStudy (maheshmeghwal9):

thanx:)

OpenStudy (unklerhaukus):

i dont understand

OpenStudy (vincent-lyon.fr):

\(\Large |e^{3i}|=1\)

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