Answer:
x≈ 3.2056
Step-by-step explanation:
Set both sides by log. Then, solve for x.
1. 14^(x + 1) = 36
(x + 1)log(14) = log(36)
x + 1 = log(36)/log(14) . . . Divide both sides by log(14)
x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.
x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.
Note that the second problem is similar to the first.
2. 12^(y - 2) = 20
(y - 2)log(12) = log(20)
y - 2 = log(20)/log(12)
y = log(20)/log(12) + 2
y ≈ 3.2056
The solution to the answer is as follows:
<span>x - y = 1...[1],
2x + y = 19...[2], {[1]+[2]}---> 3x = 30,
ie., x = 10. C is correct answer.
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
2790
Step-by-step explanation:
38/100 * 4500 = 1710 get less than eight hours of sleep
4500 - 1710 = 2790 students
(8j3 - 5j2 - 5) - (6j3 - 12j2 + 8j - 7) =
(8j3 - 6j3) - (5j2 - 12j2) - 8j - (5-7) =
2j3 - (-7j2) - 8j - (-2) =
2j3 + 7j2 - 8j + 2
The correct answer is D. 2j3 + 7j2 - 8j + 2
