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Both z and x are assumed to be positive.
log (zy^2/x) = log(z) + 2*log(|y|) - log(x). ANSWER
Solved.
Notice that using absolute value symbol for "y" is absolutely necessary
in this assignment. Otherwise, you must assume that "y" is positive.
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On logarithms and their properties, see these introductory lessons
- WHAT IS the logarithm
- Properties of the logarithm
- Change of Base Formula for logarithms
- Evaluate logarithms without using a calculator
- Simplifying expressions with logarithms
in this site.