Question 63577
Expand and simplify: ln(xe)
Thats the problem that has been driving me crazy. I dont uderstand how logarithms work so any help with this is very much appreciated. Thanks so much!
THERE ARE ONLY VERY FEW IMPORTANT FORMULAE IN LOGS APART ROM THE DEFINITION OF LOG AS REVERSE EXPONENTIATION.SO IF YOU LEARN THESE IT IS ONE OF THE EASIER CHAPTERS IN MATHS.
HERE THE FORMULA IS 
LN(A*B)=LN(A)+LN(B)
HENCE 
LN(X*E) = LN(X) + LN(E)
NOW THE DEFINITION OF LOG...
IF 
B^P =N THEN
LOG (N) TO BASE B = P 
WHEN THE BASE IS E WE CALL NATURAL LOGS AND DENOTE AS LN 
HENCE IF LN(E) = X SAY IT MEANS LOG (E) TO BASE B=E IS X 
THAT IS FROM DEFINITION  
E^X = E 
HENCE X = 1
SO WE GET 
LN(XE) = LN(X) +1