Since we have e = 2.718281828459, a becomes 10.873127313836
We need to divide each side of the equation by 10.873127313836
4e6x
10.873127313836
=
100
10.873127313836
e6x = 9.1969860292861
Take the natural log of both sides
Ln(e6x) = Ln(9.1969860292861)
Use a logarithmic identity
Ln(an) = n * Ln(a)
Using that identity, we have n = 6x and a = e, so our equation becomes:
6xLn(e) = 2.2188758248682
Given that e = 2.718281828459, we have:
6x * Ln(2.718281828459)
Evaluate outside constant
(6 * 1)x = 2.2188758248682
6x = 2.2188758248682
Divide each side of the equation by 6
6x
6
=
2.2188758248682
6
Final Answer
x = 0.36981263747803
You have 2 free calculationss remaining
What is the Answer?
x = 0.36981263747803
How does the Logarithms and Natural Logarithms and Eulers Constant (e) Calculator work?
Free Logarithms and Natural Logarithms and Eulers Constant (e) Calculator - This calculator does the following:
* Takes the Natural Log base e of a number x Ln(x) → logex
* Raises e to a power of y, ey
* Performs the change of base rule on logb(x)
* Solves equations in the form bcx = d where b, c, and d are constants and x is any variable a-z
* Solves equations in the form cedx=b where b, c, and d are constants, e is Eulers Constant = 2.71828182846, and x is any variable a-z
* Exponential form to logarithmic form for expressions such as 53 = 125 to logarithmic form
* Logarithmic form to exponential form for expressions such as Log5125 = 3
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