0
Add your answer:
Earn +20 pts
What is the logarithm of log -1?
Assuming you are asking about the natural logarithms (base e):log (-1) = i x pithereforelog (log -1) = log (i x pi) = log i + log pi = (pi/2)i + log pi which is approximately 1.14472989 + 1.57079633 i
Why is log i 0.682i Where i is the imaginary number sqr rt -1?
By Euler's formula, e^ix = cosx + i*sinx Taking natural logarithms, ix = ln(cosx + i*sinx) When x = pi/2, i*pi/2 = ln(i) But ln(i) = log(i)/log(e) where log represents logarithms to base 10. That is, i*pi/2 = log(i)/log(e) And therefore log(i) = i*pi/2*log(e) = i*0.682188 or 0.682*i to three decimal places.
What is the common logarithm of -2.4969?
The first of an infinite series of solutions is: log10(-2.4969)=ln(-2.4969)/ln(10)=ln(2.4969)/ln(10) +PI*i/ln(10) = .397 + 1.364*i There are an infinite number of additional solutions of the form: .397 + 1.364*i +2*PI*k/ln(10) where k is any integer greater than 0. I got this number by using the change of base identity and a common, complex log identity, neither of which I'm deriving. If you haven't been taught it yet, i = sqrt(-1).
What is the ratio of 100 pi?
It is 100*pi : 1 or approx 314.159:1
What is the circumference of a 100 foot radius in terms of pi?
circumference = 2*pi*100
What is the logarithm of log -1?
Assuming you are asking about the natural logarithms (base e):log (-1) = i x pithereforelog (log -1) = log (i x pi) = log i + log pi = (pi/2)i + log pi which is approximately 1.14472989 + 1.57079633 i
Why is log i 0.682i Where i is the imaginary number sqr rt -1?
By Euler's formula, e^ix = cosx + i*sinx Taking natural logarithms, ix = ln(cosx + i*sinx) When x = pi/2, i*pi/2 = ln(i) But ln(i) = log(i)/log(e) where log represents logarithms to base 10. That is, i*pi/2 = log(i)/log(e) And therefore log(i) = i*pi/2*log(e) = i*0.682188 or 0.682*i to three decimal places.
What is the value of log -2?
[ln(2) + i*pi]/ln(10) if you are referring to log as a base 10 log. ln refers to thenatural logarithm (log base e)The log of any negative number is imaginary. The formula above is derived fromthe relationship:-1 = ei*pisince you want log of -2, multiply both sides by 2-2 = 2*ei*pitaking natural logarithm of both sides: ln( -2) = ln(2*ei*pi ) = ln(2) + ln(ei*pi )which reduces to ln(2) + i*piIf you want log10 then divide both sides by ln(10)So log10(-2) = ln(-2)/ln(10) = [[ln(2) + i*pi]/ln(10)x = log (-2) = log10(-2)10x = -2Think about the smallest possible number you can put in for x.10-∞ = ?10-∞ = 1/10∞10∞ = ∞1/∞ = ?1/∞ = 0It is impossible to ever get 0 or a negative number because you will never reach infinity.log(-2) is undefined
Show me the meaning of LN?
LN is typically the syntax used to represent the natural logarithm function. Although some programming languages and computer applications use LOG to represent this function, most calculators and math textbooks use LN. In use, it would look like this:y=ln(x)Which reads as "y equals the natural logarithm of x".The natural logarithm is a logarithm that has a base of e, Euler's number, which is a mathematical constant represented by a lowercase italic e (similar to how pi is a constant represented by a symbol). Euler's number is approximately equal to 2.718281, although it continues on far past six decimal places.Functionally, the natural logarithm can be used to solve exponential equations and is very useful in differentiating functions that are raised to another function. Typically, when the solution to an equation calls for the trivial use of a logarithm (that is the logarithm is only being used as a tool to rewrite the equation), either the natural logarithm or the common logarithm (base 10) is used.
What irrational numbers are there except for pi?
Pi minus 2, Square root of 3, fourth root of 8, Natural Log of 7, e (base of natural logs), pi squared,.... There are an infinite number of them.
What are the examples of irrational numbers?
The square root of any number which is not a perfect square;The cube root of any number which is not a perfect cube;Pi, the circular constant.e, the natural logarithm base number.
What is the natural log of i?
i * pi / 2.
What is the log of pi?
It equals 0.4971
Did they find the end to pi?
In base pi yes, it is 10 in base pi.
Why does pi log 10 equal pi?
xlog10 = x This is a simple rule of logs, because log(base10)10 = 1. Any value multiplied by one equals itself. So pi*log10 = pi(1) = pi.
What is the height of a cylinder with a volume of 6903 cubic feet and a base radius of 10 feet?
V = pi*r2*h so h = V/(pi*r2) = 6903/(pi*100) = 21.97 feet
What is the common logarithm of -2.4969?
The first of an infinite series of solutions is: log10(-2.4969)=ln(-2.4969)/ln(10)=ln(2.4969)/ln(10) +PI*i/ln(10) = .397 + 1.364*i There are an infinite number of additional solutions of the form: .397 + 1.364*i +2*PI*k/ln(10) where k is any integer greater than 0. I got this number by using the change of base identity and a common, complex log identity, neither of which I'm deriving. If you haven't been taught it yet, i = sqrt(-1).
