Germany | Can you solve this? | Math Olympiad Problem

[@吳昶霖]

9^x=72 x=log72/log9

[@peterhein63]

Solution 9^x+9^x = 144 9^x =72 x = log(2³3²)/(log(3²) x=(3log2+2log3)/2log3 x=1+3/2 log(3,2) Thank you for your review

[@djt7687]

easier before you use log: 9^x=3^(2x) so 2x = lg72/lg3

[@АндрейПергаев-з4н]

А почему сразу не логарифмировать по базе 3