Challenging Math Problem | Algebra Challenging Problem | 2^x=3^y=12^z Find 2yz/y-z

In this video, we will solve this Math challenging Problem trending 2022. The problem is 2^x=3^y=12^z, Find 2yz/y-z. Math Olympiad Questions
we will solve this algebra challenging problem in two ways. This is actually one of the challenging math problems so do not ignore this video.

Check this problem too: X^x=X

If you are new to my channel, please subscribe, like, comment and share.

[mahdiali]

Sir solve this equation find the equation of circle inscribed in a triangle whose sides are lines L1:x+y=8, L2:2x+y=22, L3:3x+y=22

[klausg]

If you reduce 2yz/y-z to 2/(1/z - 1|y) you are almost finished at 2:23.

[ilgin.aksay_md]

very similar to a typical uni exam question in turkey. yet the headline says challenging. damn the system

[iordanisG]

what about x=y=z=0 ? you got to take care of the restrictions. a^x=a^y means x=y? no it could be a=1 or a=0 right?

[GodbornNoven]

super easy to do when you just solve for everything
let 3^n = 2
Solve for n
n * ln 3 = ln 2
n = ln 2 / ln 3
So
2^x = (3^n)^x = 3^nx = 3^y
wr already know what n is.
y=nx
now
let 12^a = 3
Solve for a
a ln 12 = ln 3
a = ln 3 / ln 12
so 12^az = 3^y
nevermind I'll continue this sometime I'm too tired gn