Which of the following best approximates the value of p if 5^30+3^11=5^p ?	Choose the correct choice from the following choices.
A) 39  B) 30  C) 28  D) 27  E) 17
We have: 5^30+3^11=5^p   ==&gt; because 3^11 &gt; 0 --&gt; 5^p MUST be equal or greater than 5^30 ==&gt;p MUST be equal or greater than 30   ==&gt; Options C, D, and E are out immediately.   Divide both sides by 5^p and p &gt;= 30   We have:   5^(30-p) + 3^11/5^p = 1   Because p &gt;= 30 ==&gt;3^11/5^p = 0.0000xyz, that is very small,we can ignore it.   Thus, 5^(30-p) must be approximately 1   ==&gt; 30-p = 0 ==&gt; p is approximately 30   30 is the answer.
<result>B</result>
Which of the following best approximates the value of p if 5^30+3^11=5^p ?