Welcome to The Puzzler. Every week, there are 2 new puzzles related to my passion: math, logic, and thinking. The first puzzle will be The Puzzler Quik, meant for those who crave something fun-sized. The second puzzle will be The Puzzler Think, meant for those who love to ponder. The answers will be posted in next week’s column. Don’t forget to submit your answer for a potential shout-out in the next edition of the Puzzler.
Puzzler Quik
Puzzled?
See if the tiles help decide the tiles above!
Do the 2 tiles directly below each tile help decide the value of tile?
CAN YOU FIND THE VALUE OF X?
Puzzled?
Try using subsitution!
Can you rewrite some part of the RHS as x?
ANSWERS TO LAST WEEK’S PUZZLERS
Last Week's Puzzler Quik
Alexander from Hillsdale, NJ was the winner of this shout-out.
This problem requires you to know a lot of the logarithmic rules and properties, thus, here is a video, just in case you don’t know them!
We can apply the reverse product product on the LHS. We then have $$\log_{2}{x^2}=5$$ Taking the anti-log of both sides, we get $$x^2=32$$ This evaluates to our answer $$4\sqrt{2}$$
Last Week's Puzzler Think
This week’s shout out goes to Adriana from Texas! Kudos to her for solving the problem!
Here is her nicely worded explanation!
Because we need to guarantee a matching pair, let’s consider the worst case. What is the highest number of socks you could have without being sure you have a pair? Well, you could have 3 socks at max that are all different colors. Notice that after you take one more sock, you would be sure to have a matching pair. Thus, we need 4 socks to guarantee a pair!
Well nice work! You just saved a lot of time! Next time, just turn on the lights…
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