212k views
4 votes
An Internet website had 500 visitors this month. Suppose that the number of visitors doubles each month. Which equation can be

solved to find x, the number of months it takes to reach 1,000,000 visitors per month?

User Tom Lynch
by
4.2k points

1 Answer

1 vote

Answer:

  • 11 months

Explanation:

Given

  • Initial number of visitors = 500
  • Increase rate = 2 times a month
  • Number of months = x
  • Final number of visitor = 1000000

To Find

  • Value of x

Solution

Required equation:

  • 500*2^x = 1000000
  • 2^x = 2000
  • log 2^x = log 2000
  • x log 2 = log 2000
  • x = log 2000 / log 2
  • x = 10.96 ≈ 11 rounded to the whole number
User J Brand
by
4.4k points