Use the properties of logarithms to expand $\log (z x^{2})$ .
Each logarithm should involve only one variable and should not have any exponents or fractions. Assume that all variables are positive.
$\log (z x^{2}) = ◻$
$◻ \log ◻ \frac{◻}{◻}$
$x$
S

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So, the expanded form of the given logarithmic expression is $2 \log (x) + \log (z)$

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Step 1 ：Given the logarithmic expression $\log (z x^{2})$

Step 2 ：Using the properties of logarithms, we can expand this expression. The property $\log (a b) = \log (a) + \log (b)$ allows us to separate the variables $z$ and $x^{2}$

Step 3 ：So, $\log (z x^{2}) = \log (x^{2}) + \log (z)$

Step 4 ：We still have an exponent in the term $\log (x^{2})$ . We can use the property $\log (a^{n}) = n \log (a)$ to remove this exponent

Step 5 ：Applying this property, we get $2 \log (x) + \log (z)$

Step 6 ：So, the expanded form of the given logarithmic expression is $2 \log (x) + \log (z)$

Use the properties of logarithms to expand log⁡(zx2).Each logarithm should involve only one variable and should not have any exponents or fractions. Assume that all variables are positive.log⁡(zx2)=◻◻log⁡◻◻◻xS

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Use the properties of logarithms to expand $\log (z x^{2})$ .
Each logarithm should involve only one variable and should not have any exponents or fractions. Assume that all variables are positive.
$\log (z x^{2}) = ◻$
$◻ \log ◻ \frac{◻}{◻}$
$x$
S