Math  /  Algebra

Questionz=ln(10)z = \ln(-10) Express in the form of z=lna+bj z = \ln a + bj .

Studdy Solution
Express the logarithm in the form z=lna+bj z = \ln a + bj . Using the formula for the logarithm of a complex number:
z=lna+iarg(a) z = \ln |a| + i \arg(a)
Substitute the values:
z=ln(10)+iπ z = \ln(10) + i\pi
Thus, the expression for z z is:
z=ln(10)+πj z = \ln(10) + \pi j
The expression for z z is:
ln(10)+πj \boxed{\ln(10) + \pi j}

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