Germany| A Math Olympiad algebraic question.

[@petruscerisier5086]

8^x+ 2^x=130 (2³)^x + 2^x -130=0 Let y=2^x y³ + y - 130 =0 y= 26y - 25y and 130= 26*5 => y³ -25y + 26y - 5*26=0 y(y² -25) + 26(y-5)=0 a² - b²= (a+b)(a-b) y(y+5)(y-5) + 26(y-5)=0 (y-5)(y²+5y+26)=0 y-5=0 y=5 ...............

[@عبدالواسع-س8م]

Thanks so much.

[@JJONLINEMATHSCLASSchannel]

U are welcome

[@RyanLewis-Johnson-wq6xs]

8^(Log[2,1.25]+2)+2^(Log[2,1.25]+2)=130 x=Log[2,5]=Log[2,125]+2 It’s in my head.

[@JJONLINEMATHSCLASSchannel]

👍👍

[@mikemoody5703]

WISHING YOU GREAT RECOVERY PRETTY ❤❤❤

[@JJONLINEMATHSCLASSchannel]

Thank you so much