The intersection points between y=2sin(x) and y=log(x) can be found by solving 2sin(x) = log(x), but the exact number requires a graphing calculator or numerical methods due to the oscillatory nature of sine and the ever-increasing nature of the logarithmic function.
The question is asking to determine the number of intersection points between the graphs of y = 2sin(x) and y = log(x). This is a matter of finding the solution to the equation 2sin(x) = log(x). Without specific x-values provided, it's impossible to give a numerical final answer. However, we can analyze the behavior of both functions.
The function y = 2sin(x) is periodic with a range between -2 and 2, while y = log(x) is increasing and defined only for x > 0. The number of intersections can vary depending on the range of x under consideration but will be finite since log(x) increases without bound and sine oscillates.
To find the exact number of intersections, one would typically use a graphing calculator or numerical methods to solve for x. This process involves identifying where the two functions have the same y-value, which signifies an intersection.
So, without graphing or a detailed calculation, the exact number of intersection points cannot be determined, but there will be a finite number of points where the two graphs intersect.