Use the properties of logarithms to expand
Each logarithm should involve only one variable and should not have any exponents or fractions.
Assume that all variables are positive.

Ask by Stewart Griffin. in the United States

Mar 31,2025

Question

Use the properties of logarithms to expand
Each logarithm should involve only one variable and should not have any exponents or fractions.
Assume that all variables are positive.

Ask by Stewart Griffin. in the United States

Mar 31,2025

UpStudy AI · Accepted Answer

We start with the logarithm of a quotient:
$$
\log\frac{z^{4}}{x} = \log z^{4} - \log x
$$
Next, we use the power rule for logarithms, which states that $$\log a^b = b\log a$$. Applying this to $$\log z^{4}$$, we obtain:
$$
\log z^{4} = 4\log z
$$
Thus, the expanded form is:
$$
\log\frac{z^{4}}{x} = 4\log z - \log x
$$
$$ \log\frac{z^{4}}{x} = 4\log z - \log x $$

Use the properties of logarithms to expand
Each logarithm should involve only one variable and should not have any exponents or fractions.
Assume that all variables are positive.

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Use the properties of logarithms to expand Each logarithm should involve only one variable and should not have any exponents or fractions. Assume that all variables are positive.

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Use the properties of logarithms to expand
Each logarithm should involve only one variable and should not have any exponents or fractions.
Assume that all variables are positive.