If n is an integer and 5^n > 400,000,000, what is the least possible value of n?  Pick.
A) 7 B) 13 C) 9 D) 10 E) 11
When you seperate the 400000000 into factors of 5 and 2 you get - &gt; 10^8 x 2^2 = 5^8 x 2^10   2 to the ^ 8 = 1024 so its 1024 x 5^8   that means 5^8 x 5^x must be greater   5^x &gt; 1024   5^1=5   5^2=25   5^3= 125   5^5= 3125 - &gt; so x must be at least 5   5^(8+5)= 5^13   13
<result>B</result>
If n is an integer and 5^n > 400,000,000, what is the least possible value of n?