how do log work

4. Mariah thought that because the log of the product of two numbers was the sum of their logs that when you divide you would subtract the logs. Discuss this with your group and create three or four examples to check. 5. Explain why log = log a - log b for every positive value of x or y. 6. Try some more practice problems using the division rule as well as the multiplication and power rules a. Show that 3 - log x = log 1000 x for every positive number x. b. Show that log(v10000x) = 4+log x for every positive number x. 2 c. Show that log v0.07x = log 7x - 1 for every positive number x. 2