Simplify the expression shown below ln (e^3/x^4) a) 3/x^4 b) 3-x^4 c) 3e/4 d) 3-4ln (x)

Example 3 - Using Properties of Logarithms. Write each logarithm in terms of ln 2 and ln 3. a. ln 6 b. ln. Solution: a. ln 6 = ln (2 3). = ln 2 + ln 3 b. ln = ln 2 - ln 27 ... d. ex = 7 ln ex = ln 7 x = ln 7. Inverse e. ln x = - 3 eln x = e. - 3 x = e. - 3. Inverse f. log x = - 1. 10log x = 10. - 1 x = 10. - 1. = Inverse g. log. 3 x = 4. 3log. 3 x = 34.