Homework SourseEvaluate the expression using the laws of logarithms 4x In e
Evaluate the expression using the laws of logarithms. 4x In e Express the equation in logarithmic form. er=1 6 2 ![Evaluate the expression using the laws of logarithms. 4x In e Express the equation in logarithmic form. er=1 6 2 Solution6) ln(e^4x) [As log(x^n) = n*log (x)]](/WebImages/36/evaluate-the-expression-using-the-laws-of-logarithms-4x-in-e-1108877-1761587479-0.webp "Evaluate the expression using the laws of logarithms. 4x In e Express the equation in logarithmic form. er=1 6 2 Solution6) ln(e^4x) [As log(x^n) = n*log (x)]")
Solution
6) ln(e^4x) [As log(x^n) = n*log (x)]
= 4x*ln(e) [ln (e) = 1]
= 4x*1 = 4x
7) The exponential form (1/2)^-4 = 16 = 2^4 = 16 is equivalent to the logarithmic form
4 = log2 16
