April 2017
What number x is greater than x^n?
What number x > xn?
Where n = positive integer greater than 1.
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Stuck finding out the manual solution for finding x in this logarithmic equation
Good day,
I got stuck finding the manual solution for this problem without relying to the solve function of Casio calculator
The original equation was
[(1+x)40] -1 = (181205.95/3000)x
Then I tried using properties of logarithm and I simplified it to this equation:
[ln(181205.95/3000)]/40 = ln(1+x) - (1/40)[ln(x+3000/181205.95)]
0.102526 = ln(x+1) - 0.025ln(x+0.0165557)
Answer: x = 0.02
Fluid mechanics
A hollow sphere 6 in inside diameter is rotated on a cable at 100 rpm. If the cable is 6 ft long and makes an angle of 30 degrees with the horizontal, what is the pressure in the center of the sphere if it is full of water? what is the equivalent specific weight at that point?
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Problem
The sum of the first n terms of a series is 3^(2n - 1) + b. What is the quotient of the 9th and the 7th term?
| A. 81 | C. 83 |
| B. 82 | D. 84 |
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