SOLUTION: The expression ln (2e^3x) is equal to? a. ln 2+3x b. ln(2+3x) c. ln 6x d. ln 2+3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The expression ln (2e^3x) is equal to? a. ln 2+3x b. ln(2+3x) c. ln 6x d. ln 2+3       Log On


   

Question 579546: The expression ln (2e^3x) is equal to?
a. ln 2+3x
b. ln(2+3x)
c. ln 6x
d. ln 2+3
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Answer: a. ln 2+3x
.
Use the properties of logarithm: ln%28a%2Ab%29=ln%28a%29%2Bln%28b%29, ln%28a%5En%29=n%2Aln%28a%29, ln%28e%29=1
ln+%282e%5E%283x%29%29=ln2%2Bln%28e%5E%283x%29%29=ln2%2B3x%2Aln%28e%29=ln2%2B3x