Final answer:
The logarithm that is equal to 10log6y is log6y or log10(6y).
Step-by-step explanation:
The logarithm that is equal to 10log6y is log6y or log10(6y). Let's break it down step-by-step:
- The given expression, 10log6y, is the product of 10 and log6y.
- Since 10 can be written as 101, the expression can be rewritten as 1*log6y.
- Using the property loga(b*c) = loga(b) + loga(c), we can break down the logarithm into two separate logarithms: log6 and logy.
- Finally, simplify the expression to get log6 + logy or log10(6) + log10(y).