Write the following as a single logarithm. Assume all variables are positive.
\[
4 \log _{5}(c)+3 \log _{5}(y)=
\]

The answer format in lowercase characters is: log_base (number) Spaces in the answer are optional.

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Step 1 ：The given expression is a sum of two logarithms with the same base. According to the properties of logarithms, the sum of two logarithms with the same base is equal to the logarithm of the product of the numbers.

Step 2 ：Therefore, we can combine the two logarithms into a single logarithm by multiplying the numbers (c and y) raised to their respective coefficients (4 and 3).

Step 3 ：The simplified expression is still a sum of two logarithms. However, the coefficients of the logarithms have been factored out. This is not the final answer.

Step 4 ：We need to combine the two logarithms into a single logarithm by using the property of logarithms that the sum of two logarithms with the same base is equal to the logarithm of the product of the numbers.

Step 5 ：The single logarithm equivalent to the given expression is \(\boxed{\log _{5}(c^{4} y^{3})}\)