Question

Find please: -

Answer 1

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

Answer 2

simplify \(3e^{5i + 2} \times 7e^{-2i}\) first i guess

Answer 3

k! i get \[21e^{3i+2}.\]

Answer 4

then?

Answer 5

hmm ok..this got difficult -_- lol

Answer 6

try expanding it

Answer 7

\[\ln (21e^{3i + 2} = \ln 21 + \ln e^{3i+2}\]

Answer 8

what are we finding btw @maheshmeghwal9

Answer 9

sorry i didn't get:(

Answer 10

isnt \[ln (bc) = \ln b + \ln c?\]

Answer 11

it's a logarithmic property \[\large \log_a (bc) = \log_a b + \log_a c\]

Answer 12

so..ln21+3(i)+2=ln21+..?
what to write in place of i?

Answer 13

i already know that but how to get answer?

Answer 14

Let me check
\[ \large \ln e^{a + ib} = a+ib\]

Answer 15

k! so what is the answer

is it this?