Which of the following best approximates the value of q if 5^29+5^11=5^q ?
Choose one
A) 40  B) 30  C) 29  D) 27  E) 17
We have: 5^29+5^11=5^q   ==&gt; because 5^11 &gt; 0 --&gt; 5^q MUST be equal or greater than 5^29 ==&gt;q MUST be equal or greater than 29   ==&gt; Option D and E are out immediately.   Divide both sides by 5^q and q &gt;= 29   We have:   5^(29-q) + 5^11/5^q = 1   Because q &gt;= 29 ==&gt;5^11/5^q = 0.0000xyz, that is very small,we can ignore it.   Thus, 5^(29-q) must be approximately 1   ==&gt; 29-q = 0 ==&gt; q is approximately 29   29 is the answer.
<result>C</result>
Which of the following best approximates the value of q if 5^29+5^11=5^q ?