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You can have logaritms(logs) to any 'base'. However, modern calculators are programmed to base '10' (log button) or base '2.718281828....' (an irrational number) (ln button).
The number '2.71828....' is known as the Exponential or Natural number.
Hence on a calculator the 'ln' button is known as the exponential.
If you draw a graph using '2.71828...' as the 'power/index/exponential, the graph curve would very quickly go 'off the top of the graph' paper.
e.g.
0^(2.718...) = 1
1^(2.718..._ = 2.71828...
2^(2.71828...) =7.389....
3^(2.71828....) = 20.085536....
As you can see all the results are increasing rapidly, and exponentially, and the answers are 'irrational.
What else can I help you with?
What is log 100 base e?
log(e)100 = log(10)100 / log(10)e = log(10)100 / log(10) 2.71828.... = 2/ 0.43429448... = 4.605170186..... (The answer). NB Note the change of log base to '10' However, on a calculator type in ;- 'ln' (NOT log). '100' '=' The answer shown os 4.605....
What is the value of log 50?
Very simple: it is 1.6989700043 to be exact. You can test this because log50 means we assume the natural log (base 10), if you test 10 to the exponent of 1.6989700043 you should render 50 as your result :D
How do you convert natural log into binary log?
Use the equation. ln 'x' = log(2) x / log(2) n. '2' being the binary system of 10101010.... However, it may be easier to understand using base '10'. lnx' = log(10)x / log(10)'e' NB This will give a different answer to log base '2' (binary). NNB Within logarithms you can change the base value tp any other base using the above equation. Calculators give logs to base '10'(log) and base 'e' (2.71828.....)(ln). However, you can use any number as a base value e.g. '100' say , or '79' say. providing you use the above eq'n.
What is the logarithm of 1.0882?
Ever heard of calculator?? log to base 10 = 0.0367087, natural log, 0.08452495
What is the natural log of x?
It means the logarithm to the base e. The number "e" is approximately 2.71828... In other words, if you ask, for instance, "what's the natural logarithm of 100", that's equivalent to asking "to what number must I raise 'e', to get the answer 100". The solution of the equation e^x = 100 in this example.
What number has a log of 8.0573-10?
18.057299999999998
What is a natural logarithm used for?
The natural logarithm (ln) is used when you have log base e
What is the base of the natural log?
ln means loge. e is about 2.718281828
What does ln mean in mathematics?
Natural Log; It's a logarithm with a base of e, a natural constant.
Solve ln y equals xln e?
ln is the natural logarithm. That is it is defined as log base e. As we all know from school, log base 10 of 10 = 1 just as log base 3 of 3 = 1, so, likewise, log base e of e = 1 and 1.x = x. so we have ln y = x. Relace ln with log base e, and you should get y = ex
In the continuous compounding equation e is the natural log to the base 10?
A "natural logarithm" is a logarithm to the base e, notto the base 10. Base 10 is sometimes called "common logarithm". The number e is approximately 2.71828.
What is log 100 base e?
log(e)100 = log(10)100 / log(10)e = log(10)100 / log(10) 2.71828.... = 2/ 0.43429448... = 4.605170186..... (The answer). NB Note the change of log base to '10' However, on a calculator type in ;- 'ln' (NOT log). '100' '=' The answer shown os 4.605....
What is the same thing as log base e?
log base e = ln.
What is the value of log 50?
Very simple: it is 1.6989700043 to be exact. You can test this because log50 means we assume the natural log (base 10), if you test 10 to the exponent of 1.6989700043 you should render 50 as your result :D
What is difference between natural logarithm and log base 10?
The natural logarithm is calculated to base e, where e is Euler's constant. For any number, x loge(x) = log10(x)/log10(e)
What is full form of LOG?
"Log" is short for Logarithm and can be to any base.The Logarithm of a number is the number to which the base has to be raised to get that number; that is why there are no logarithms for negative numbers. For example: 10² = 100 → log to base 10 of 100 is 2.There are two specific abbreviations:lg is the log to base 10ln is the log to base e - e is Euler's number and is approximately 2.71828184; logs to base e are known as natural logs.On an electronic calculator the [log] button takes logarithms to base 10. The inverse function (anti-log) is marked as 10^x.Similarly the [ln] button takes logs to base e, with the inverse function marked as e^x.
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.
