IPMAT Indore 2023Modern Math > EasyEntered answer:✅ Correct Answer: 32Related questions:Let a,b,ca, b, ca,b,c be real numbers greater than 1, and nnn be a positive real number not equal to 1. If logn(log2a)=1;logn(log2b)=2log_n(log_2a) = 1; log_n(log_2b) = 2logn(log2a)=1;logn(log2b)=2 and logn(log2c)=3log_n(log_2c) = 3logn(log2c)=3 then which of the following is true?The set of real values of xxx for which the inequality log278≤log3x<91log23\log _{27} 8 \leq \log _{3} x \lt 9^{\frac{1}{\log _{2} 3}}log278≤log3x<9log231 holds isIf log(x2)y+log(y2)x=1\log _{\left(x^{2}\right)} y+\log _{\left(y^{2}\right)} x=1log(x2)y+log(y2)x=1 and y=x2−30y=x^{2}-30y=x2−30, then the value of x2+y2x^{2}+y^{2}x2+y2 is ___________.