If n is an integer and 5^n > 40,000,000, what is the least possible value of n? Choose the correct answer:
A) 7  B) 8  C) 9  D) 10  E) 11
When you seperate the 40000000 into factors of 5 and 2 you get - &gt; 10^7 x 2^2 = 5^7 x 2^9   2 to the ^ 9 = 512 so its 512 x 5^7   that means 5^7 x 5^x must be greater   5^x &gt; 512   5^1=5   5^2=25   5^3= 125   5^4= 625 - &gt; so x must be at least 4   5^(7+4)= 5^11   11
<result>E</result>
If n is an integer and 5^n > 40,000,000, what is the least possible value of n?