This is due to the distinct properties of logarithms in comparison to algebra. The expression log(3x - 1) is interpreted as log 3x divided by log 1. If we proceed with rearranging and solving for x, we arrive at: log(3x - 1) = log28, log 3x/log 1 = log 28, resulting in log 3x being equal to log 28 multiplied by log 1 which equals 0. Thus, 3x = 10⁰ = 1, leading to 3x = 1 and x = 1/3. Therefore, it follows that 3x - 1 equals 3(1/3) - 1 = 0.
Given the three integers are 
, we arrive at
We can merge the fractions on the left side:
x = 27 + 3 √ 129/ 4, 27 − 3 √ 129/ 4
Please note: the entire equation mentioned is divided by 4, not only the last term.
x approximates to 15.26836251, − 1.76836251
That concludes my response. I hope this is helpful. You will still need to work on finding y and z, which can be quite challenging:)
Answer:
2.5 seconds after the initial ball was struck.
Step-by-step explanation:
The height equations are:
At the point where the balls intersect, both heights are alike, therefore:
-16t² + 56t = -16t² + 156t - 248
-16t² + 56t + 16t² - 156t + 248 = 0
- 100t + 248 = 0
248 = 100t
t = 248/100
t = 2.48 ≈ 2.5
