Question 487084
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)