Harvard University Admission Question | Solve For x? | Algeria

[@venugopalramachandran6766]

We can write 30 as 3^3 +3 right at the beginning to get a =9. Since the function on the left is increasing this is the only point where it cuts the function y=30 and hence this is the only solution

[@raghvendrasingh1289]

x= log 75/log 45 = (log3+ 2 log5)/(2log 3+log 5)
2x-1= 3log 5/(2log 3+log 5)
And x-2 = -3 log3/(2log 3+log 5)
hence (2x-1)/(x-2) = - log 5 base 3 or log(1/5) base 3

[@SpencersAcademy]

Nice one! 👌