Thread: Sum and/or Difference of Logs

Write each sum as a sum and/or difference of logs. Express powers as factors.

Before getting to the questions, what does the question mean by "Express powers as factors"?

QUESTIONS:

(1) log_2[(a/b^2)], where a > 0, b > 0

(2) ln[x(sqrt{1 + x^2)], where x > 0

"express powers as factors" tells you to use the power rule for logs, i.e.

note that the power "n" is now a factor.

use the quotient property of logs to break it apart ...



now finish this one (express powers as factors) and then try the second one yourself ... you'll be using the product property of logs.

This is exactly what I was looking for.

Thanks!