SOLUTION: 1. Write 4ln6-2ln3 as a single natural logarithm. 2. Solve e^3x=15 3. Simplify ln e^7

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 1. Write 4ln6-2ln3 as a single natural logarithm. 2. Solve e^3x=15 3. Simplify ln e^7      Log On


   

Question 187548: 1. Write 4ln6-2ln3 as a single natural logarithm.

2. Solve e^3x=15
3. Simplify ln e^7
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Remember that



So:



The difference of the logs is the log of the quotient, so:



***************************************



Take the natural log of both sides:



Use the exponent rule:



so:



Leave your answer like that because it is much simpler than the only alternative, namely:



***************************************

Use the exponent rule:



John