Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
\[
\log \left(\frac{y}{1,000,000}\right)
\]
\[
\log \left(\frac{y}{1,000,000}\right)=
\]
Answer
The expanded form of the logarithmic expression is \(\boxed{\log(y) - 6}\)
Step 1 ：Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
Step 2 ：The properties of logarithms state that the logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. Therefore, we can rewrite the given expression as: \(\log(y) - \log(1,000,000)\)
Step 3 ：The logarithm of 1,000,000 is 6 because 10 to the power of 6 equals 1,000,000. Therefore, the expression simplifies to: \(\log(y) - 6\)
Step 4 ：The expanded form of the logarithmic expression is \(\boxed{\log(y) - 6}\)
