Question

Match each description of a logarithmic property to the correct mathematical equation. The logarithmic properties are: The common logarithm of 10 is always one, the common logarithm of 1 is always zero. the common logarithm of 10 raised to a power is equal to that power, ten raised to the power of a common logarithm of a number is equal to that number. The correct mathematical equations are 10^log(x)=x, log (10) =1, log (10^m) =m, log(1)=0.

Answer 1

Here are the matches (log means common logarithm, base 10):

- "The common logarithm of 10 is always one" → log(10) = 1
- "The common logarithm of 1 is always zero" → log(1) = 0
- "The common logarithm of 10 raised to a power is equal to that power" → log(10^m) = m
- "Ten raised to the power of a common logarithm of a number is equal to that number" → 10^log(x) = x