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.