Answer:
x=5
Step-by-step explanation:
First, let's understand logarithms.
When there is no base given, like in this problem's right side of the equation, the base is automatically 10.
So, let's re-write that.
Now, let's test a few of the numbers out. For brevity, I already know it's 3. Let's show you why.
Answer:
D.
Step-by-step explanation:
We graph the points on the graph. The graph is attached.
Let us take two points (1, 14) and (15, 1), and calculate the slope between them <em>(we choose these points because the line passing through them will be the best fit for all points) </em>
Thus we have the equation
Let us now calculate from the point
So the equation we get is
Let us now turn to the choices given and see which choice is closest to our equation: we see that choice D. is the closest one, so we pick it.
Answer:
Option A.
Step-by-step explanation:
The given sequence is
24, 30, 36, 42, 48, ...
It is an AP. Here,
First term = 24
Common difference = 30-24 = 6
The given explicit formula for nth term is
where, is first term, d is common difference.
Substitute in the above formula.
The 500th term of the sequence is 3018.
Therefore, the correct option is A.