If 5^29 * 4^15 = 2 * 10^n, what is the value of n? Choices:
A) 11  B) 21  C) 22  D) 29  E) 32
My attempt:   5^(29) * 4^(15) = 2*10^p   5^(29) * 2 ^ (30) = 2 * (2*5)^p   5^(29) * 2 ^ (30) = 2 * 2^(p) * 5^(p)   5^(29) * 2 ^ (30) = 2^(p+1) * 5^(p)   =&gt; (p+1) = 30   =&gt; p = 29   Answer: 29 (29)
<result>D</result>
If 5^29 * 4^15 = 2 * 10^n, what is the value of n?