Multi-valued logarithmic function I'm reading some notes for an electrical engineering class and came to the following: "...2^j can represent a countably infinite number of real numbers. These examples are related to the fact that if we define w = log(z) to mean that z=e^w, then for z!=0, this logarithm function log(z) is multi-valued." In here, I was wondering what they mean by multi-valued. There is no further description of this function on the text. Are they referring to the complex logarithmic function? Is the non-complex logarithmic function multi-valued too?

$\frac{20b}{{\left(4b^3\right)}^3}$

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${\displaystyle 60\cdot 60\cdot 24\cdot 7\cdot 365}$
${\displaystyle 1000\cdot 60\cdot 60\cdot 24\cdot 365}$
${\displaystyle 24\cdot 60\cdot 100\cdot 7\cdot 52}$
${\displaystyle 1000\cdot 60\cdot 24\cdot 7\cdot 52?}$

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B) 0
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149600000000 is equal to
A)$1.496\times <!--\; \times \; -->{10}^{11}$
B)$1.496\times <!--\; \times \; -->{10}^{10}$
C)$1.496\times <!--\; \times \; -->{10}^{12}$
D)$1.496\times <!--\; \times \; -->{10}^8$

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