# Math Help - How do we natural log this?

1. ## How do we natural log this?

$
0.85((1+i)^2^0))
$

My attempt

$
ln 0. 85 + 20ln(1+i)
$

$
0.85((1+i)^2^0))
$

My attempt

$
\ln 0. 85 + 20\ln(1+i)
$
That is OK if we ignore the mismatched brackets in the statement of the problem.

CB

3. You can continue by noting that $1+ i= \sqrt{2}e^{i\pi/2+ 2ik\pi}$ so that $ln(1+ i)= ln(\sqrt{2})+ \pi/2+ 2k\pi$ for k any integer.

4. Originally Posted by HallsofIvy
You can continue by noting that $1+ i= \sqrt{2}e^{i\pi/2+ 2ik\pi}$ so that $ln(1+ i)= ln(\sqrt{2})+ \pi/2+ 2k\pi$ for k any integer.
For some reason it had not occured to me that the i was the imaginary unit!?

CB