Express as a single logarithm. \[ \log _{c}(70)+\log _{c}(25) \]

Step 1 ：The problem is asking to express the sum of two logarithms as a single logarithm. The logarithmic property that can be used here is the product rule.

Step 2 ：The product rule states that the sum of the logarithms of two numbers is the logarithm of the product of those numbers.

Step 3 ：Therefore, we can multiply the numbers inside the logarithms together to get a single logarithm.

Step 4 ：\(\log _{c}(70)\) and \(\log _{c}(25)\) can be combined into \(\log _{c}(70 \times 25)\)

Step 5 ：So, \(\log _{c}(70)+\log _{c}(25) = \log _{c}(1750)\)

Step 6 ：\(\boxed{\log _{c}(70)+\log _{c}(25) = \log _{c}(1750)}\)