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\[\ln |3e^{5i+2}\times7e^{{-2i}}|.\]
\[\ln |3e^{5i+2}\times7e^{{-2i}}|\] \[=\ln |21e^{3i+2}|\] \[=\ln|21|+\ln |e^{3i+2}|\] \[=\ln|21|+3i+2\]
\(=2+\ln21=2+\ln3+\ln7\) 3i is not in the answer.
how sir @Vincent-Lyon.Fr
& ur answer is also correct:)
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For any complex number written as : \(\Large re^{i\theta}\) with r positive real number, then \(\Large |re^{i\theta}|=r\)
ya sir but how will we get '2' in the answer?
@Vincent-Lyon.Fr Plz:)
k! k! i got that. thanx:)
\(\ln{e^2}=2\ln e=2\times1=2\)
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thanx:)
i dont understand
\(\Large |e^{3i}|=1\)
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