Which of the following best approximates the value of q if 20^50+20^11=20^q ? Select the correct option:
A) 61 B) 52 C) 51 D) 50 E) 39
We have: 20^50+20^11=20^q   ==&gt; because 20^11 &gt; 0 --&gt; 20^q MUST be equal or greater than 20^50 ==&gt;q MUST be equal or greater than 50   ==&gt; Option E is out immediately.   Divide both sides by 20^q and q &gt;= 50   We have:   20^(50-q) + 20^11/20^q = 1   Because q &gt;= 50 ==&gt;20^11/20^q = 0.0000xyz, that is very small,we can ignore it.   Thus, 20^(50-q) must be approximately 1   ==&gt; 50-q = 0 ==&gt; q is approximately 50   50 is the answer.
<result>D</result>
Which of the following best approximates the value of q if 20^50+20^11=20^q ?