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This isn't so easy. Start by restating it with mathematical symbols:
x^2 > 2^x
Since both sides are positive numbers, it's okay to take the log of both sides (ln = natural log) and preserve the inequality.
ln (x^2) > ln(2^x)
which can be re-written:
2 ln x > x ln 2
(ln x)/x > (ln 2)/2 =~ 0.34657359028...
It looks like the function maxes out to a value of 1/e = 0.36...
So there's a small range of x values containing e where the inequality is true. The endpoints of this interval are found by making it an equation instead of inequality.
I'm not sure this can be solved in closed form. Normally numerical (computer approximation) would be used, I think.
The lesson to be learned, however, is that an exponential function will eventually overtake any power function of x.
What else can I help you with?
What are a carpet's dimensions if one side of the carpet is seven meters shorter than the length and the diagonal is one meter longer than the length?
12 meters long, 5 meters wide. Diagonal = 13 meters. Solve and prove with Pythagorean therum : 12 squared (144) + 5 squared (25) = 13 squared (169).
How do you calculate the height of a right triangle given the base length and all three angles?
if you have a regular triangle u have to use the paythagorem theory A squared plus b squared equals c squared and than u have to take half the base of the triangle and the number of one of the sides and substitute into the equation and solve the b squared should be the height of ur triangle :)
How do you solve 2x squared plus x plus 2 equals 0 by completing the square?
It cannot be solved because the discriminant of the quadratic equation is less than zero
What number is not bigger than 300 but smaller then 200 squared?
1. It is not bigger than 300. It is smaller than 200 squared.
How do you put the squared symbol?
on the top right part of the number being squared and remember to make it smaller than the number being squared
How do you solve 16 less than x squared?
You don't. There's no question there, and nothing that needs solving. "16 less than x squared" is written as (x2 - 16)
How do you solve X squared is less then 16?
If X squared is less than 16, then the absolute value of X is less than the square root of 16. X will be greater than -4 and less than +4.
Which is greater 2 to the power of 4 or 8 to the power of 2?
"2 to the power of 4" is written "two to the fourth power", and "8 to the power of 2" is known as "eight squared". And, eight squared is greater than two to the fourth power. Eight squared is 64, and two to the fourth power is 16.
How can you use the 'completing the square' method to solve an equation when the coefficient of x squared is more than 1?
i want to solve few questions of completing square method can u give me some questions on it
Is 13 squared bigger then 13 to the power of 3?
13 squared = 132 = 13 x 13 = 169 13 cubed = 133 = 13 x 13 x 13 = 2197 Therefore 13 to the power of 3 is larger than 13 squared.
What are a carpet's dimensions if one side of the carpet is seven meters shorter than the length and the diagonal is one meter longer than the length?
12 meters long, 5 meters wide. Diagonal = 13 meters. Solve and prove with Pythagorean therum : 12 squared (144) + 5 squared (25) = 13 squared (169).
How do you solve X squared minus four for x equals 3?
Your Problem: X - 4 = ?Current Problem: 3 [squared] - 4 = ?How: When a numbered is squared, it means you multiply it against itself. So, 3 squared equals 3x3.3x3 = 9So, you would then take 9 and minus it by 4, which would than equal 5.Answer:3 [squared] - 4 = 5or9 - 4 = 5
Is a to the second power over b to the second power greater than a over b?
Let's reverse the question - Is a over b less than a squared over b squared? Answer - Only when a is less than b example 1: a is less than b a = 2 a squared = 4 b = 3 b squared = 9 2 / 3 = .6666 4 / 9 = .444444 2 / 3 is greater than 4 / 9 example 2: a is equal to b a = 2 a squared = 4 b = 2 b squared = 4 2 / 4 = .5 2 / 4 = .5 2 / 4 is equal to 2 / 4 example 3: a is greater than b a = 3 a squared = 9 b = 2 b squared = 4 3 / 2 = 1.5 9 / 4 = 2.25 3 / 2 is less than 9 / 4 - wjs1632 -
The quadratic formula cannot be used to solve an equation if a term in the equation has a degree higher than?
Two.
How do you calculate the height of a right triangle given the base length and all three angles?
if you have a regular triangle u have to use the paythagorem theory A squared plus b squared equals c squared and than u have to take half the base of the triangle and the number of one of the sides and substitute into the equation and solve the b squared should be the height of ur triangle :)
How do you solve minus 2x squared plus 10x minus 14 equal 0?
It can't be solved because the discriminant of this quadratic equation is less than zero
What is religous faith?
trusting i a higher power than yourself
