SOLUTION: Use the properties of logarithms to evaluate ln(8e)^4. Round to the nearest tenth. 4*ln(8e) 4*ln(8e)=4*(ln8+lne) 4(ln8+lne)=? What do I do next?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Use the properties of logarithms to evaluate ln(8e)^4. Round to the nearest tenth. 4*ln(8e) 4*ln(8e)=4*(ln8+lne) 4(ln8+lne)=? What do I do next?       Log On


   

Question 189006This question is from textbook saxon algebra 2
: Use the properties of logarithms to evaluate ln(8e)^4. Round to the nearest tenth.
4*ln(8e)
4*ln(8e)=4*(ln8+lne)
4(ln8+lne)=?
What do I do next?
 This question is from textbook saxon algebra 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
ln%28%288e%29%5E4%29 Start with the given expression.


4%2Aln%288e%29 Pull down the exponent using the identity ln%28x%5Ey%29=y%2Aln%28x%29%29


4%2A%28ln%288%29%2Bln%28e%29%29 Break up the log using the identity ln%28A%2AB%29=ln%28A%29%2Aln%28B%29


4%2A%28ln%288%29%2B1%29 Evaluate the natural log of "e" to get 1.


Note: since the natural log is really a log with base "e", this means that


y=ln%28e%29 ---> e%5Ey=e ----> y=1


4%2A%282.0794%2B1%29 Evaluate the natural log of 8 to get approximately 2.0794


4%2A%283.0794%29 Add


12.3176 Multiply


12.3 Round to the nearest tenth



So