Use the properties of logarithms to expand logyz3.Each logarithm should involve only one variable and should not have any exponents or fractions.Assume that all variables are positive.
Question
Use the properties of logarithms to expand logyz3.Each logarithm should involve only one variable and should not have any exponents or fractions.Assume that all variables are positive.
Solution
The given expression is log(yz^3).
Using the properties of logarithms, we can expand this expression as follows:
Step 1: Apply the product rule of logarithms, which states that log(ab) = log(a) + log(b).
log(yz^3) = log(y) + log(z^3)
Step 2: Apply the power rule of logarithms, which states that log(a^n) = n*log(a).
log(y) + log(z^3) = log(y) + 3*log(z)
So, the expanded form of log(yz^3) is log(y) + 3*log(z).
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