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What is the value of e to the power of (2x) when e to the power of x equals 2?
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
What is 2x to the power of 2 minus x to the power of 2?
The question is ambiguous and two possible answers are given below: 2x2 - x2 = x2 or (2x)2 - x2 = 4x2 - x2 = 3x2
How do you integrate e power minus 2x?
∫e^(-2x) dx Let u = 2x du= 2 dx dx=(1/2) du ∫e^(-2x) dx = (1/2) ∫e^-u du = (1/2) (-e^-u) = -e^-u /2 + C = -e^-(2x) / 2 + C
How does e raised to the power of 2x equal e raised to the power of x squared?
e2x=ex^2 basically means that x2=2x, in which case x2-2x=0, x = 0, 2. I don't think that's what the question meant. It could mean: e2x=(ex)2 . Which comes from one of the rules of exponents. Basically, look at it this way: Take the natural log of both sides: ln e2x= ln(ex)2 From rules of logs: (2x) ln e = (2) ln ex 2x ln e = (2) (x) ln e 2x = (2)(x)
How do you factor 2x plus 5x plus 2?
If that was 2x^2 + 5x + 2, it would factor to (2x + 1)(x + 2)
What is negative 2 to the fifth power?
-2x-2x-2x-2x-2=-32
What does -2 to the fourth power equal?
-2x-2x-2x-2= 16 (positive)
Why is -2 raised to the power 4 equal -16 but when -2 is multiplied 4 times (-2x-2x-2x-2) it is 16?
-2 to the 4th power is 16.
How do you simplify 3x to the power of 2 plus x plus 2x to the power of 2?
3x^2 + x + 2x^2 = 5x^2 + x
What is 2x to the power of 6 minus 128?
2(x + 2)(x - 2)(x2 + 2x + 4)(x2 - 2x + 4)
What is -2 to the power of 2?
-2 to the power of two is the same as -2x-2 Two negative numbers multiplied gives you a positive number. So, -2x-2=4 -2 to the power of 2=4
What is 2 x to the second power?
2x^2
How do you factor x to the 4th power plus 4?
(x^2 - 2x + 2)(x^2 + 2x + 2)
What is 40 in exponential form?
2 with a power of 2x 5 with a power of 2
What is 4x to the 2nd power minus 36x plus 81?
(2x - 9)(2x - 9) or (2x - 9)2
What is the derivative of 2x with respect to x?
d/dx(2x) = 2 simple power rule
What is the value of e to the power of (2x) when e to the power of x equals 2?
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
