e to the power -2 = 2.71828183 to power -2 = 0.135335283
e^x - 2 = 8 e^x = 10 So x = ln(10) = 1/log10(e)
The power law of indices says: (x^a)^b = x^(ab) = x^(ba) = (x^b)^a → e^(2x) = (e^x)² but e^x = 2 → e^(2x) = (e^x)² = 2² = 4
Cube root is the same as to the power of a third; when multiplying/dividing powers of a number add/subtract the powers; when a power is to another power, multiply the powers; as it is all e to some power: e³/(e²)^(1/3) × e^13 = e³/e^(2/3) × e^13 = e^(3 - 2/3 + 13) = e^(15 1/3) = e^(46/3) Which can also be expressed as "the cube root of (e to the power 46)" or "(the cube root of e) to the power 46".
e-2 = 1/e2 ≈ 0.1353
Nyan cat
f(x) = (x^2)(e^x)f'(x) = e^x((x^2)+2x) - i thinkf"(x) = ?--------f(x) = (x^2)(e^x)apply the power rulef'(x) = (x^2)(e^x) + (2x)(e^x)apply the power rule to the first part and apply the power rule to the second part, then add those togetherf''(x) = [(x^2)(e^x) + (2x)(e^x)] + [(2x)(e^x) + (2)(e^x)]simplifyf''(x) = (e^x)(x^2 + 4x +2)I got it right. It checked out on my calculator.
The value of e(3/2)x is e(3x/2).
The solution to 12-4 to the 2 power, divided by 2 is equal to 4.
ln is the inverse of e. So the e and the ln cancel each other out and you are left with 2. eln2 = 2
x = 2
It is NOT rational, but it IS real.Start with Euler's formula: e^ix = cos(x) + i*sin(x) for all x.When x = pi/2,e^(i*pi/2) = cos(pi/2) + i*sin(pi/2) = 0 + i*1 = ior i = e^(i*pi/2)Raising both sides to the power i givesi^i = e^[i*(i*pi/2)] = e^[i*i*pi/2]and since i*i = -1,i^i = e^(-pi/2) = 0.20788, approx.
E Boiling is the measure of the energy required to vaporize the solution, converting the water at 100 degrees to steam at 100 degrees. E Boiling is calculated from values of solution mass during thepower-on portion of the run:E Boiling = (Initial Mass - Final Mass)*540*4.186,where Initial Mass is the solution mass at the start of the power-on portion of the run, and Final Mass is the solution mass at the end of the power-on portion of the run. The constant 540 is the heat of vaporization of water in calories per gram.