<p>Can someone help me with this problem?</p>
<p><a href="http://k.min.us/jDNZ7nPiiLbSA.png%5B/url%5D">http://k.min.us/jDNZ7nPiiLbSA.png</a></p>
<p>I hate those roman numeral problems because I don't have a systematic way of attacking them.</p>
<p>On the left side, we multiply the exponents and get q ^ rs
On the right side, we subtract the exponents and get q^ (r-t)</p>
<p>rs = r - t [Since q> 1, the exponents must be equal to each other]</p>
<p>s = (r - t) / r [Divide by both sides by r]</p>
<p>So III is true.</p>
<p>s = (r - t) / r does not necessarily imply that t = 0. So I is not necessarily true.</p>
<p>s = (r - t) / r does not necessarily imply that s = -t. So II is not necessarily true.</p>
<p>In math, when a statement “must be true”, that statement is true for all allowed values of variables.</p>
<p>^Yes, I attempted to do it your way, but I only had 60 seconds for this question. Is 60 seconds a reasonable amount of time to solve this question?</p>
<p>60 seconds for one question? Damn. Work on your fundamentals, son.</p>
<p>^No, it wasn’t because I spent 24 minutes on level 1 questions. </p>
<p>This was part of a 5 question timed quiz that consisted entirely of level 4-5 math questions. I only had 5 minutes to finish the quiz.</p>
<p>I’d be genuinely surprised if you can surpass my average score on those 5 question quizzes ;). My average: 60%.</p>
<p>This is very easy. Start by getting q^rs = q^(r-s). Then just plug in the answers and see what works. If you conclude that the I and II are not true, then C is the only option.</p>
<p>Should take less than 30 seconds.</p>
<p>Where…is…this…quiz…from…I…need…level…4…to…5…questions…</p>
<p>This is a bad question. I think that they intend for (C) to be the answer, but it’s not. If r=0, and t=0, then both sides of the equation are 1 (thus the hypothesis is true), but III is false since you can’t divide by 0.</p>
<p>The question should state that r is not zero.</p>
