Answer:
x = log 10/log 3
Step-by-step explanation:
3^x - 4 = 6
3^x = 10
We take log base 3 of both sides since log_3 3^x is simply x.
log_3 3^x = log_3 10
x = log_3 10
We have an answer for x, but it is a log base 3. We want log base 10.
Now we use the change of base formula.
log_b y = log y/log b
x = log 10/log 3
Question 26)
Circumference = πD
To find the arc of a quadrant, divide the circumference by 4 = 1/4 πD
Diameter = Radius x 2 = 24 x 2 = 48
Circumference of the arc of the playground = 1/4 x π x 48 = 12π = 37.70 ft
Distance around the playground = arc + radius + radius
Distance around the playground = 37.7 + 24 + 24 = 85.70 ft (nearest hundredth)
-----------------------------
Answer: 85.70 ft
-----------------------------
I think this is the answer
Answer:
(D^2 + 9)y = cos 2x….(1). The corresponding homogeneous equation is (D^2 +9)y= 0,…(2), whose auxiliary equation is m^2 + 9 = 0, which has (+/-)3i as roots. The general solution of (2) is y = A.cos(3x) + B.sin(3x). Now to get a general solution of (1) we have just to add to the above, a particular solution of (1). One such solution is [cos(2x)]/[-2^2 +9] = (1/5).cos 2x. Hence a general solution of the given equation is given by y = A.cos(3x) + B.sin(3x) + (1/5)cos(2x), where A and B are arbitrary constants. The above solution incorporates all the solutions of the given equation.
Step-by-step explanation:
