SOLUTION: 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!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 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!      Log On


   

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!
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
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