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What is the natural log of i?
i * pi / 2.
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 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 is log base pi 100 in a logarithm?
logpi100 = log10100/log10pi = 2/log(pi) = 4.02293 (approx)logpi100 = log10100/log10pi = 2/log(pi) = 4.02293 (approx)logpi100 = log10100/log10pi = 2/log(pi) = 4.02293 (approx)logpi100 = log10100/log10pi = 2/log(pi) = 4.02293 (approx)
Why does E to the pi i equal negative one?
E to the pi i equals negative one because of a string of properties. Namely logarithmic properties. When you take the natural log of both sides you are able to bring the exponent of pi and i down. And replace the ln of e with 1. When you keep the natural log of negative 1 you get 3.145....i or pi times i. To understand this natural log place you must go back to the original equation E^pi i. When you take the i root of both sides you get e to the pi alone, and have the i root of negative one. By doing this you are just raising negative 1 to the inverse of i, negative i. When you do this you end up with 23.14069263....... because of derivatives. Guess what e to the pi is. you guessed right 23.14069263. This is commonly known as Eulers's identity. If you want the more in depth understanding google it, or bing whatever you prefer.
What is the log of pi?
It equals 0.4971
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 Two times the natural logarithm?
2 log(x)derivative form:d/dx(2 log(x)) = 2/x
What is pi times pi divided by pi plus pi minus pi times pi?
the same as pi squared, which is 9.86960440109
How do you make natural log to log with base of 10?
To make a natural log a log with the base of 10, you take ten to the power of you natural log. Ex: ln15=log10ln15=log510.5640138 I'm sorry if you don't have a calculator that can do this, but this will work.
How do you use pi to determine circumference?
Circumference = pi times the diameter, or pi times 2 times radius. Area = pi times (radius squared)
