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"Ln" in that equation is the "natural logarithm" of a number.
The "common logarithm" ... log(x) ... is the logarithm of 'x' to the base of 10.
The "natural logarithm" ... ln(x) ... is the logarithm of 'x' to the base of 'e'.
'e' is an irrational number, known, coincidentally, as the "base of natural logarithms".
It comes up in all kinds of places in math, physics, electricity, and engineering, especially in
situations where the speed of something depends on how far it still has to go to its destination.
'e' is roughly 2.7 1828 1828 45 90 45 ... (rounded)
What else can I help you with?
What is the entropy equation and how is it used to quantify the amount of disorder or randomness in a system?
The entropy equation, S k ln W, is used in thermodynamics to quantify the amount of disorder or randomness in a system. Here, S represents entropy, k is the Boltzmann constant, and W is the number of possible microstates of a system. By calculating entropy using this equation, scientists can measure the level of disorder in a system and understand how it changes over time.
How do you calculate actual vapour pressure?
Actual vapor pressure can be calculated using the Antoine equation, which is a function of temperature and constants specific to the substance of interest. The equation is: ln(P) = A - (B / (T + C)), where P is the actual vapor pressure, T is the temperature in Kelvin, and A, B, and C are substance-specific constants.
How do you calculate water vapor pressure?
Water vapor pressure can be calculated using the Clausius-Clapeyron equation, which relates vapor pressure to temperature. The equation is: ln(P2/P1) (Hvap/R)(1/T1 - 1/T2), where P1 and P2 are the vapor pressures at temperatures T1 and T2, Hvap is the heat of vaporization, and R is the gas constant.
What is the relationship between the Helmholtz free energy and the partition function in statistical mechanics?
In statistical mechanics, the Helmholtz free energy is related to the partition function through the equation F -kT ln(Z), where F is the Helmholtz free energy, k is the Boltzmann constant, T is the temperature, and Z is the partition function. This equation describes how the Helmholtz free energy is connected to the microscopic states of a system as described by the partition function.
What is the electric potential due to an infinite line charge?
The electric potential due to an infinite line charge decreases as you move away from the charge. The formula to calculate the electric potential at a distance r from the line charge is V / (2) ln(r), where is the charge density of the line charge, is the permittivity of free space, and ln(r) is the natural logarithm of the distance r.
Which logarithmic equation is equivalent to the exponential equation below ea 60?
ln 60 = a
What is the given logarithmic equation for lnx2.35?
If the equation was ln(x) = 2.35 then x = 10.4856, approx.
What exponential equation is equivalent to the logarithmic equation e exponent a equals 47.38?
The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)
How do you find value ln 2.33?
To find ln 2.33, you need a calculator. It is the solution of the equation e^x = 2.33. ln 2.33 = 0.84586 (using a calculator)
How do you solve this logarithmic equation ln x equals 5?
In the equation ln(x) = 5, the solution is x = (about) 148.4. To solve, simply raise e to the power of both sides and reduce... ln(x) = 5 eln(x) = e5 x = 148.4
If you have a number with the exponent x how do you find the answer?
Take the natural logarithm (ln) of both sides of the equation to cancel the exponent (e). For example, ify=Aexlog transform both sides and apply the rules of logarithms:ln(y)=ln(Aex)ln(y)=ln(A)+ln(ex)ln(y)=ln(A)+xrearrange in terms of x:x=ln(y)-ln(A), or more simplyx=ln(y/A)
What is the equation for exponential interpolation?
The correct formula for exponential interpolation is: y =ya*(yb/ya)^[(x-xa)/(xb-xa)], xa<x<xb and also, x=xa*[ln(yb)-ln(y)]/[ln(yb)-ln(ya)]+xb*[ln(y)-ln(ya)]/[ln(yb)-ln(ya)], ya<y<yb
What does NN LN stand for in short hand rule?
yes
How do you solve this logarithmic equation 3x plus 7 equals 20?
To be logarithmic the equation would be, ( otherwise just linear ) 3x + 7 = 20 subtract 7 from each side 3x = 13 now, you know the answer is between x = 2 and x = 3, so I use natural logs both sides ln(3x) = ln(13) as this is a logarithmic operation you can bring down the x in front of the ln sign on the left x ln(3) = ln(13) divideboth sides by ln(3) x = ln(13)/ln(3) ( not ln(13/3)!!!!! ) x = 2.334717519 -------------------------check in original equation 3(2.334717519) + 7 = 20 13 + 7 = 20 20 = 20 --------------checks
What is the dervative of x pwr x pwr x?
For the function: y = x^x^x (the superscript notation on this text editor does not work with double superscripts) To solve for the derivative y', implicit differentiation is needed. First, the equation must be manipulated so there are no x's raised to x's on the right side of the equation. So, both sides of the equation must be input into a natural logarithm, wherein we can use the properties of logarithms to remove the superscripted powers of the right side: ln(y) = ln(x^x^x) ln(y) = xxln(x) ln(y)/ln(x) = xx ln(ln(y)/ln(x)) = xln(x) eln(ln(y)/ln(x)) = exln(x) ln(y)/ln(x) = exln(x) ln(y) = ln(x)exln(x) Now there are no functions raised to functions (x's raised to x's). Deriving this equation yields: (1/y)(y') = ln(x)exln(x)(x(1/x) + ln(x)) + exln(x)(1/x) = ln(x)exln(x)(1 + ln(x)) + exln(x)(1/x) = exln(x)(ln(x)(1+ln(x)) + (1/x)) Solving for y' yields: y' = y[exln(x)(ln2(x) + ln(x) + (1/x))] or y = xx^x ln(y) = ln(x)x^x ln(y) = xxln(x) ln(y) = exlnxln(x) y'/y = exlnx[ln(x) + 1)ln(x) + exlnx(1/x) y' = y[exlnx(ln2(x) + ln(x) + 1/x)] y' = xx^x[exlnx(ln2(x) + ln(x) + 1/x)]
How do I write an equation for a sequence that isn't linear or exponential?
A polynomial equation: ax4+ bx3+ cx2+ dx + e = 0A trigonometric equation: sin(3x+2) = 0 Combinations: cos(x3+ e2x) = ln(x)A polynomial equation: ax4+ bx3+ cx2+ dx + e = 0A trigonometric equation: sin(3x+2) = 0 Combinations: cos(x3+ e2x) = ln(x)A polynomial equation: ax4+ bx3+ cx2+ dx + e = 0A trigonometric equation: sin(3x+2) = 0 Combinations: cos(x3+ e2x) = ln(x)A polynomial equation: ax4+ bx3+ cx2+ dx + e = 0A trigonometric equation: sin(3x+2) = 0 Combinations: cos(x3+ e2x) = ln(x)
If e to the power x equals 0.4634 find x?
the natural log, ln, is the inverse of the exponential. so you can take the natural log of both sides of the equation and you get... ln(e^(x))=ln(.4634) ln(e^(x))=x because ln and e are inverses so we are left with x = ln(.4634) x = -0.769165
