0
What else can I help you with?
Do any positive real numbers alpha and beta exist such that lnalpha times beta equals lnalpha plus lnbeta and if so what are they?
I assume the question is NOT about ln(a*b) = ln(a) + ln(b) because that is true for all positive real a and b. Instead, you want a solution to ln(a) * b = ln(a) + ln(b) or, ln(a) * (b-1) = ln(b) ln(a) = ln(b)/(b-1) ln(a) = ln[b1/(b-1)] Exponentiating, a = b1/(b-1) For any real number b > 1, a given by the above equation will meet your requirements.
Abbreviate the word line?
ln
What is the full word for Ln?
Natural log
What is a logarithmic function?
A logarithm is an exponent.Assume 1 ≠ a > 0 and x > 0Definition of Logarithmic Function with base a:y = logax ↔ ay = xln(ay) = ln x = y ln ay = ln x/ln aDefinite logax = ln x/ln aProperties:The domain of f is all positive real numbers.The range of f is all positive real numbers.f(1) = 0f is an increasing function when a > 1 and decreasing if 0 < a < 1. From the definition of logarithm, it's obvious thatf(x) = logax and f(x) = ax are inverse functions.
How would you solve ln 4 plus 3 ln x equals 5 ln 2?
Ln 4 + 3Ln x = 5Ln 2 Ln 4 + Ln x3= Ln 25 = Ln 32 Ln x3= Ln 32 - Ln 4 = Ln (32/4) = Ln 8= Ln 2
Why are there more prime numbers 100 to 200 then 200 to 300?
That is because prime numbers do not follow any known pattern. However, the number of primes smaller than a number n is approximately n/ln(n) where ln is the natural logarithm.And the word for comparisons is "than" not "then".That is because prime numbers do not follow any known pattern. However, the number of primes smaller than a number n is approximately n/ln(n) where ln is the natural logarithm.And the word for comparisons is "than" not "then".That is because prime numbers do not follow any known pattern. However, the number of primes smaller than a number n is approximately n/ln(n) where ln is the natural logarithm.And the word for comparisons is "than" not "then".That is because prime numbers do not follow any known pattern. However, the number of primes smaller than a number n is approximately n/ln(n) where ln is the natural logarithm.And the word for comparisons is "than" not "then".
How do you work out Ln 24 - ln x equals ln 6?
18
Why is the symbol for natural log ln?
ln(ln)
What is 12.0905 ln word form?
Twelve and nine hundred five ten thousandths
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 derivative of y equals xlnx?
Use the product rule.y = x lnxy' = x (ln x)' + x' (ln x) = x (1/x) + 1 ln x = 1 + ln xUse the product rule.y = x lnxy' = x (ln x)' + x' (ln x) = x (1/x) + 1 ln x = 1 + ln xUse the product rule.y = x lnxy' = x (ln x)' + x' (ln x) = x (1/x) + 1 ln x = 1 + ln xUse the product rule.y = x lnxy' = x (ln x)' + x' (ln x) = x (1/x) + 1 ln x = 1 + ln x
What is equivalent to ln 6 plus ln 4?
You can also write this as ln(6 times 4)
