Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. release your mouse button when the item is place. if you change your mind, drag the item to the trashcan. click the trashcan to clear all your answers. solve and type in a different form by using the given theorems of logarithms.

  log₁₀(M) + log₁₀(N)

Step-by-step explanation:

The rules of logarithms tell you ...

  log(ab) = log(a) +log(b) . . . . . base of logarithms the same in each case

When your log is log₁₀ and a=M and b=N, this becomes ...

  log₁₀(MN) = log₁₀(M) + log₁₀(N)

Some functions are not always written with their arguments in parentheses. I believe it avoids ambiguity to put function arguments in parentheses, so I have done that here. It appears your answer form may want you to write ...

  log₁₀M+log₁₀N . . . . . I don't recommend this form