Question 487084: I want to know how to simplify this...ln(e^(5AB))
thank you!!
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! ln(e^(5AB) is equal to:
5AB * ln(e)
ln(e) is equal to 1
therefore your expressions simplifies to:
5AB.
if we let A = 2 and B = 3, then 5AB = 5*2*3 = 30
your equation is then:
ln(e^(30))
you can solve it directly using your calculator or you can solve it by simplifying it as we did before.
use your calculator to find ln(e^30))
it should be the same answer as 30*ln(e) which is equal to 30.
i did on mine and the answer i got was 30.
they're the same, as they should be.
i don't believe you can simplify it any further than that.
your answer is:
ln(e^(5AB)) = 5AB * ln(e) = 5AB
you are using one of the basic laws of logarithms that states:
log(a^x) = x*log(a)
|
|
|
