⇒y=x First, using rule a^m•a^n=a^(m+n) the left side becomes 3^(x-1+2x+1) Next, using the rule (a^m)^n=a^(mn) the right side becomes (after ∛27 becomes 3³) 3^(3y) And finally using the rule (a^m=a^n)=(m=n) this: 3^(x-1+2x+1)=3^(3y) becomes x-1+2x+1=3y simplifies to 3x=3y which simplifies to y=x and that is my answer.
@bradlewis8036 Жыл бұрын
Thank you for teaching this problem John. I was thinking about this kind of problem the other day and I was disappointed how I avoided the chance to learn it. Thank you so much for sharing this teaching video. More reason to buy your learning software.
@olivemd Жыл бұрын
I don’t recommend listening to Iron Maiden while doing math in your head. Took me 2-3 minutes to solve. By the way, back in 1967, I was a math geek. I wanted to be a math teacher, but I realized that I did not have the patience to teach.
@bigdog36284 ай бұрын
NEVER listen to music when doing math. ANY instructional video has has music in it is an automatic fail. (unless of course it is an instructional video on music. But lets say that KZbin who does a walk through or how to guide for a game lets arbitrarily call "kick a dog" and he has music playing while doing this video. Instant fail)
@m.h.6470 Жыл бұрын
Solution: multiplying two numbers with the same base means adding the exponents, therefore the left side is 3 to the power of x - 1 + 2x + 1 = 3x 3³ˣ = (3³)ˣ = 27ˣ Therefore y = x
@lowlightevangelist9431 Жыл бұрын
I'm 48 watching your videos. Needed the encouragement, thank you. I was also too distracted and didn't care in high school.
@tommykyle1570 Жыл бұрын
I under stand what you did, I had forgotten the power to a power rule . Remembering that rule would have made the problem easy.
@pmw383910 ай бұрын
Or, from: base:3, exponent:3x = base:27, exponent:y therefore: base:27, exponent:x = base:27, exponent:y So, x = y
@devonwilson5776 Жыл бұрын
Greetings. The answer is Y=X. From the details given, left hand side (3^X-1)(3^2X+1)= 3^(X-1 +2X +1)= 3^3X. The right hand side, 27^Y= 3^3Y. Moving forward, the left hand side of 3^3X = the right hand side of 3^3Y. That is 3^3X=3^3Y, and 3X=3Y, dividing throughout by 3 gives X =Y. Lovely.
@bythenumbers8522 Жыл бұрын
Thank you, I do remember it from 60 years ago! 😀
@robertroemer4233 Жыл бұрын
Since y = x then any value inserted for x in that power on the left side will = the power with the y exponent.
@johnplong3644 Жыл бұрын
Clue Bases are the same should put the answer y=x
@genelowry5666 Жыл бұрын
I think it's x=y
@harrymatabal84486 ай бұрын
The question stayed y=. Not x=. 😂😂😂
@johnplong3644 Жыл бұрын
Algebra 2 type problem
@russelllomando8460 Жыл бұрын
got it - 3x=3y x=y
@dwaipayandattaroy9801 Жыл бұрын
Sunnyu is the answer
@ozfire7 Жыл бұрын
y=x
@carolwhite6979 Жыл бұрын
y=-1
@kennethwright870 Жыл бұрын
3x=3y, so x=y
@danielmadden9691 Жыл бұрын
Y=1
@Nikioko Жыл бұрын
Not necessarily.
@m.h.6470 Жыл бұрын
That is one of infinitely many possible solutions
@peanutnutter1 Жыл бұрын
Am I right that 3 to (x -1) = 1?
@m.h.6470 Жыл бұрын
no, why would you think that? 3⁰ is 1, but (x-1) ≠ 0, unless x = 1, which we don't know, as x is a unknown variable.
@peanutnutter1 Жыл бұрын
@@m.h.6470 thanks for the explanation
@Kleermaker1000Ай бұрын
x = y, isn't that funny? :)
@Geoff_G Жыл бұрын
If just watching the video and not attempting the question is wrong, then yes I will get this one wrong.
@danielmadden9691 Жыл бұрын
I now know y can equal x in some cases
@m.h.6470 Жыл бұрын
Actually in all cases, as you can transform the left side to 27ˣ, the equation is literally 27ˣ = 27ʸ There is absolutely no case, where x ≠ y
@brb__bathroom Жыл бұрын
I know what a power is in Marvel
@harrymatabal84486 ай бұрын
Wtf. Y=x ok
@harrymatabal84487 ай бұрын
Ok y=x all the answers were correct yet you say many get it wrong and it took you 18 minutes. Are you sure you know math
@oldschoollew Жыл бұрын
i got the approach correct.... turn to same base 3^(3x) =3 ^(3y) y = x but actually got the simple math wrong lol