Stanford University Admission Interview Tricks | Calculators Allowed.✍️🖋️📘💙

[@ShriH-d1o]

8^x =6x; 8=(6x)^1/x;=>
8^1/6=(6x)^(1/6x)=>
(2^3)^1/6=>(6x)^(1/6x);
2^(1/2)= (6x)^(1/6*x);
=> 2= 6x; => x =1/3✓
>>>4^{1/4)=(6x)^1/6x;
> 4=6x;>x=2/3 verified✓

[@赖皮球]

3x=t 8^x=2^(3x)=2^t=6x=2*(3x)=2t so 2^t=2t t=2 3x=t=2 x=2/3

[@prollysine]

x*ln8=ln6x , /*6 , 6x*ln8=6*ln6x , ln8/6=ln6x/6x , 3*ln2/(3*2)=ln6x*e^(-ln6x) , ln2/2=ln6x*e^(-ln6x) , /* -1 , -ln2*e^(-ln2)=-ln6x*e^(-ln6x) ,
W(-ln2*e^(-ln2))=W(-ln6x*e^(-ln6x)) , -ln2=-ln6x , x=1/3 ,
W(-ln2/2)=-ln6x , x=e^(-(-0.69314718))/6 , x=e^(0.69314718))/6 , x=1/3 , test , 8^(1/3)=2 , 6*1/3=2 , OK ,