
What is #ln(e^x)#? - Socratic
Nov 11, 2015 · It is exactly x. You are looking for a number that is the exponent of the base of ln which gives us the integrand, e^x; so: the base of ln is e; the number you need to be the …
logarithms - I have a hard time understanding why $\ln e=1 ...
I have a hard time understanding why $\\ln e=1$ Can someone explain to me why the natural logarithm of e is exactly equal to the first nonzero but positive integer?
How do you simplify lne^2? - Socratic
Sep 5, 2016 · The natural log function lnx and the exponential function #e^x# are #color(blue)"inverse functions"# That is #f(x)=e^x" then" f^-1 x=lnx# and in general
How do you simplify Ln e^3? - Socratic
Aug 4, 2016 · ln(e^3)=3 By definition, log_a(x) is the value such that a^(log_a(x)) = x From this, it should be clear that for any valid a and b, log_a(a^b)=b, as log_a(a^b) is the value such that …
How do you find the derivative of y=lne^x? - Socratic
Dec 5, 2016 · How do you find the derivative of #y=lne^x#? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e
How do you simplify #ln(lne^(e^10))#? - Socratic
Jul 25, 2016 · ln(ln e^(e^10)) = 10 As functions of Real numbers, ln(x) and e^x are inverses of one another. So: ln(ln e^(e^10))=ln(e^10) = 10
How do you simplify ln e^2? - Socratic
Apr 27, 2018 · 2 ln(x) is asking e to the power of what is x In this case, e to the power of 2 is e^2 thus, ln(e^2)=2 Another way is using the property of logarithms that says ln(a^b)=b*ln(a) In this …
How do you solve for x for ln1 - lne = x? | Socratic
Feb 17, 2015 · The result should be: x=-1 Consider that from the definition of logarithm: log_ab=x =>a^x=b and that log_e is ln; So you get: ln1=0 because e^0=1 lne=1 because e^1=e in your …
Lne^x=5 I know that x=5 but why? - Socratic
Oct 10, 2015 · The function e^x:RR->(0, oo) and ln:(0, oo)->RR are inverse functions of one another. So for any x in RR, ln(e^x) = x and for any x in (0, oo), e^ln(x) = x The natural …
How do you evaluate #lne^(5x)#? - Socratic
Oct 30, 2016 · How do you evaluate #lne^(5x)#? Precalculus Properties of Logarithmic Functions Natural Logs. 1 Answer