Write the expression as a single logarithm with coefficient 1 . Assume that all variables represent positive. real numbers.
$4 \log_{c} x - 6 \log_{c} y^{5}$

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Final Answer: $\log_{c} \frac{x^{4}}{(y^{5})^{6}}$

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Step 1 ：Given the expression $4 \log_{c} x - 6 \log_{c} y^{5}$

Step 2 ：Using the properties of logarithms, we can move the coefficient of each logarithm as the exponent of the argument inside the logarithm. This gives us $\log_{c} x^{4} - \log_{c} (y^{5})^{6}$

Step 3 ：Next, we write the difference of two logarithms as the logarithm of the quotient of the arguments of the two logarithms. This gives us $\log_{c} \frac{x^{4}}{(y^{5})^{6}}$

Step 4 ：Thus, the expression $4 \log_{c} x - 6 \log_{c} y^{5}$ simplifies to $\log_{c} \frac{x^{4}}{(y^{5})^{6}}$

Step 5 ：Final Answer: $\log_{c} \frac{x^{4}}{(y^{5})^{6}}$

Write the expression as a single logarithm with coefficient 1 . Assume that all variables represent positive. real numbers.4logc⁡x−6logc⁡y5

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Write the expression as a single logarithm with coefficient 1 . Assume that all variables represent positive. real numbers.
$4 \log_{c} x - 6 \log_{c} y^{5}$