Which of the following best approximates the value of q if 6^44+3^11=6^q ? Choices
A) 55 B) 50 C) 45 D) 44 E) 43
We have: 6^44+3^11=6^q   ==&gt; because 3^11 &gt; 0 --&gt; 6^q MUST be equal or greater than 6^44 ==&gt;q MUST be equal or greater than 44   ==&gt; Option E is out immediately.   Divide both sides by 6^q and q &gt;= 44   We have:   6^(44-q) + 3^11/6^q = 1   Because q &gt;= 44 ==&gt;3^11/6^q = 0.0000xyz, that is very small,we can ignore it.   Thus, 6^(44-q) must be approximately 1   ==&gt; 44-q = 0 ==&gt; q is approximately 44   44 is the answer.
<result>D</result>
Which of the following best approximates the value of q if 6^44+3^11=6^q ?