Since log(ab) = log(a) + log(b) and log(a/b) = log(a) - log(b) for any logarithm base, we have
Then using the change-of-base identity, we have
But we also know that 2¹⁰ = 1024 and 2⁵ = 32, so we can back up slightly and instead write
Then the logarithms cancel and you're left with 5/10 = 1/2.
Answer:
<h2>In the time interval of 10 to 30 seconds the rocket may safely be exploded.</h2>
Step-by-step explanation:
The height of the rocket is shown by .
= 0 gives t = 20 seconds.
The highest height that the rocket can go is at t = 20.
The rocket must be at least 1500 meters in the air to safely explode.
Hence, if s = 1500, then,
.
After 10 seconds and 30 seconds of firing, the rocket will be in a height of 1500 meter.
Hence, the time interval of safely explode is 10 ≤ t ≤ 30 seconds.
6 is the answer to the problem sorry it took so long
Simplify the following:
(25/a - a l)/(a + 5)
Put each term in 25/a - a l over the common denominator a: 25/a - a l = 25/a - (a^2 l)/a:
(25/a - (a^2 l)/a)/(a + 5)
25/a - (a^2 l)/a = (25 - a^2 l)/a:
Answer: ((25 - a^2 l)/a)/(a + 5)
12 - 3b < 9
12 (-12) - 3b < 9 (-12)
-3b < -3
-3b/-3 < -3/-3
(note when dividing a negative number, flip the inequality sign)
b > 1 is your answer
hope this helps