Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 457256: A launched rocket has an altitude, in meters,given by the polynomisl h+vt-4.9t^2, where h is the height, in meters, from which the launch occurs, at velocity v in meters per second, and t is the number of seconds for which the rocket is airborne. if a rocket is launched from the top of a tower 60 meters high with an intial upward of 60 meters per second, what will its height be after 2 seconds?
Click here to see answer by nerdybill(6958)   |
Question 458294:
In the equation
z = x ^ (x ^ (y-1))
What is x equal to in terms of z and y? Solve for x please.
I found what y is equal to in terms of z and x.
y = In(In(z) / In(x)) / In(x) + 1
Thank you. William Teichner
Click here to see answer by robertb(4012)  |
Question 458458: For z always positive, what does x equal in the equation
z = x^(x^(y-1))?
I submitted this several times, one answer was
z=x^(x^(y-1))
x^x = z^(1/(y-1))
x = z^(1/x(y-1))
This doesn't work out with actual numbers. For example:
z=19683, x=3, y=3. 19683 = 3^(3^(3-1)). Works fine.
But:
x^x = z^(1/(y-1)) is not true because
3^3 doesn't equal 19683^(1/(3-1))
27 doesn't equal 140.2961154. Is there something I'm missing here? Am I
reading the above answer incorrectly?
Click here to see answer by richwmiller(9135)  |
Question 458673: Polynomials & Polynomial Functions: Solve each equation by graphing. Where necessary, round to the nearest hundredth.
6. y=-x^4+4x^3+3=0
The answer choices are as follows:
0.86, -4.05
-0.85, 5.04
-0.85, 4.05
Click here to see answer by stanbon(57307) |
Question 462903: Hello, quick question. I need to find the inverse of this function. And the domain and range of it.
f(x)= 3/x-7
This is the answer that I got, did I do anything wrong?
Domain of f: (-infinity, 7)U(7, infinity)
Range of f: (-infinity, 0)U(0, infinity)
f-1(x)= (3/x)+7
Click here to see answer by jim_thompson5910(28579) |
Question 464665: simplify the expression
3 log 3 (6x-4)
I don't know how to write like the paper shows. log is like an exponent and the second 3 is lower than the first 3. The (6x-4) is written like an exponent.
Thanks
Chris
Click here to see answer by robertb(4012) |
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