Oxford University Pure Mathematics Entrance Exam | Can you solve it ?

[@에스피-z2g]

x^3log4+4^logx=10 x^log4=t (x>0, t>0) t^3+t-10=0 (t-2)(t^2+2t+5)=0 t>0, t=2 x^log4=4^logx=2 logx=1/2 x=rt10

[@nikolayplatnov5148]

Is it really Oxford test ? Easily can be resolved in brain...I would use 10, not 4, for the basis...😂

[@Budgeman83030]

I have a question: you said b ^ log a = a ^log b. When you had x ^ log 4^3 why not switch it at the beginning of the video to 4^log x^3?

[@superacademy247]

If you do so you'll violate power rule. Be careful when dealing with rules of exponentiation 💯💖✅💕