more math problems for those that are bored

<p>If x is a positive number and x^y = .25x^(2+y), then x=?</p>

<p>If x is the smallest positive integer that has 12 and 81 as a divisor, then what is x?</p>

<p>How many digits are there in 25^25?</p>

<p>1.) x^y=1/4(x^(2+y))
x^y/(x^2+y)=1/4
x^y-(2+y)=1/4
x^-2=1/4
x= plus or minus 2</p>

<ol>
<li>81 x 4 = 324</li>
</ol>

<p>^what?
how'd u do #2?</p>

<ol>
<li>Not an SAT I question.
34 < log (25^25) < 35
=> 35 digits in 25^25.</li>
</ol>

<p>about ex2
12;81 /2 = 6;81
6;81 /2 =3;81
3;81 ;3 =1;27
1;27 /3 = 1;9
1;9 /3 = 1;3
1;3 /3 = 1;1</p>

<p>multiply 2x2x3x3x3x3 = 324 ;]</p>

<p>For 2, i would approach it like this:</p>

<p>The question is asking for the smallest integer x, that has 12 and 81 as a divisor. By definition, this question is asking for the least common multiple of 12 and 81.
The first step is to find the greatest common factor of 12 and 81, which is 3. Divide 3 into both numbers and you get 4 and 27. Multiply. 3<em>4</em>27=324</p>