The Student Room Group
Reply 1
(a^(-b))=(1/(a^b))

=>2(e^(-ln6))=(2/(e^(ln6)))=(2/6)=(1/3)

Newton.
Reply 2
Newton
(a^(-b))=(1/(a^b))

=>2(e^(-ln6))=(2/(e^(ln6)))=(2/6)=(1/3)

Newton.


so basically if theres ln and e then they can probably cancel eachother out...
Reply 3
melbourne
so basically if theres ln and e then they can probably cancel eachother out...

yes.
Reply 4
melbourne
so basically if theres ln and e then they can probably cancel eachother out...


Yes, because logx and (e^x) are the inverse functions of one another, and

f(f(-1)(x))=x

Newton.
Newton
Yes, because logx and (e^x) are the inverse functions of one another, and

f(((f(x))^(-1))=x

Newton.

logex or lnxlog_ex \ or \ lnx :rolleyes:
Reply 6
Newton

...and

f(((f(x))^(-1))=x



I wouldn't write it that way: (f(x))^(-1) looks like a reciprocal i.e 1/(f(x))

Rather f^(-1)(x) looks better.
Reply 7
log x with no base usually means log to the base 10.
ln x and e^x are inverse functions, so are log x and 10^x.
Reply 8
Only at A-Levels, otherwise logx is all ways the natural logarithm of x.

Newton.
Reply 9
since this is an A-level/GCSE forum it would be a good idea to use the convention :wink:
Reply 10
Mathematicians use logx to denote the natural logarithm of x.

Newton.
Newton
Real Mathematicians use logx to denote the natural logarithm of x.

Newton.

PLZ USE ln HERE WHERE APPLICABLE.



you will confuse people, unnecessarily.
Reply 12
lame
PLZ USE ln HERE WHERE APPLICABLE.



you will confuse people, unnecessarily.


Opinions from people that never post in the Mathematics forum are not really highly regarded.

Newton.
Newton
Opinions from people that never post in the Mathematics forum are not really highly regarded.

Newton.

:laugh:
Reply 14
The University of Manchester (FG31-Maths and Physics) Conditional offer (F - Firm acceptance) (AAB)
The University of Warwick (FG31-Maths and Physics) Conditional offer (I - Insurance acceptance) (AAA)

Could i ask why your insurance has higher grade requirements than your firm? :confused:
Reply 15
Newton
Opinions from people that never post in the Mathematics forum are not really highly regarded.

Newton.



i think you should at least respect what people ask for, whether they post in math forums or not.
besides, the link u gave shows that log ln and lg are confusing, so u should use the less confusing term, i.e. ln for natural log., log for base 10 , and log(2) for base two. coz this is the least confusing way. because ln is only used for natural log., log is used for base 10 on the calculator, and log(2) is obvious to mean base 2.

thank you