Harvard University Admission Interview Tricks Probably Never Knew Existed!✍️🖋️📘💙

[@pspprabhat]

Log x/Log 3^4)+Logx/Log3^2=6
=>(Log×/log3)(1/4+1/2)=6
=>log@3 ( ×)=6(4/3)
=>×=3^8

[@에스피-z2g]

log_81 x=t
log_9 x=log_81 x^2
=2log_81 x=2t
3t=6
t=2
log_81 x=2
x=81^2=6561

[@key_board_x]

Log_81(x) + Log_9(x) = 6 ← Log_b(x) = Ln(x) / Ln(b) → where b is the base
[Ln(x) / Ln(81)] + [Ln(x) / Ln(9)] = 6 → Ln(81) = Ln(9²) = 2.Ln(9)
[Ln(x) / 2.Ln(9)] + [Ln(x) / Ln(9)] = 6
[Ln(x) / 2.Ln(9)] + [2.Ln(x) / 2.Ln(9)] = 6
3.Ln(x) / 2.Ln(9) = 6
Ln(x) / 2.Ln(9) = 2
Ln(x) = 4.Ln(9)
Ln(x) = Ln(9⁴)
x = 9⁴
x = 6561

[@bentels5340]

log_81(x) + log_9(x) = 6
log(x)/log(81) + log(x)/log(9) = 6
log(x)/log(9²) + log(x)/log(9) = 6
log(x)/2log(9) + log(x)/log(9) = 6
{Multiply by 2log(9)}
log(x) + 2log(x) = 2*6log(9)
3log(x) = 12log(9)
log(x) = 4log(9)
log(x) = log(9⁴)
x=9⁴
x=81²
x=6561