Problema Solution

What is the smallest, positive integer value of x such that the value of f(x) = 2^x+3 exceeds the value of g(x) = 50x+5

Answer provided by our tutors

We can see the solution if we graph f(x) = 2^x+3 and g(x) = 50x+5.

Click here to see the graph

We notice that for x = 0 we have:

2^0 + 3 = 4

50*0 + 5 = 5

and 4 < 5

Since both functions are increasing follows that there is no such positive value for x such that  f(x) = 2^x+3 exceeds the value of g(x) = 50x+5