If 5^23 * 4^12 = 2 * 10^n, what is the value of n?
Choose the correct option.
A) 11
B) 21
C) 22
D) 23
E) 32
My attempt:   5^(23) * 4^(12) = 2*10^p   5^(23) * 2 ^ (24) = 2 * (2*5)^p   5^(23) * 2 ^ (24) = 2 * 2^(p) * 5^(p)   5^(23) * 2 ^ (24) = 2^(p+1) * 5^(p)   =&gt; (p+1) = 24   =&gt; p = 23   Answer: 23 (23)
<result>D</result>
If 5^23 * 4^12 = 2 * 10^n, what is the value of n?