Can you pass this Stanford University interview? Algebra simplification

Algebra simplification. An exponential math problem. Stanford University interview. You should learn this trick. #stanford #interview #educational

[RyanLewis-Johnson-wqxs]

Input
16^log(2.75, 0.5 + 0.5 sqrt(5)) + 44^log(2.75, 0.5 + 0.5 sqrt(5)) = 121^log(2.75, 0.5 + 0.5 sqrt(5))
Result
True
Logarithmic form
log(121, 16^log(2.75, 0.5 + 0.5 sqrt(5)) + 44^log(2.75, 0.5 + 0.5 sqrt(5))) = log(2.75, 0.5 + 0.5 sqrt(5)) log(121, 121)

[franciscodeassisbrandaobra]

Aula top suave, magistral e divertida

[RyanLewis-Johnson-wqxs]

X=Log[(11/4), (1+Sqrt[5])/2]=Log[2.75, 0.5+0.5Sqrt[5]]

[gettingkilt]

The question is a typo. It's 49 not 44, and x is 1/2.

[subratabiswas]

x=log[(√5-1)/2]/log (4/11) & x=log[(-1-√5)/2]/log(4/11) . i, e x=[log(√5-1)/2]/log(4/11) & x=[ log{(√5+1)/2}+i(π +4kπ)]/log(4/11).