IPMAT Indore 2023Modern Math > Medium(b−a)n=(c−b)(b-a)^n=(c-b)(b−a)n=(c−b)an+bn=cna^n+b^n=c^nan+bn=cna+b=ca+b=ca+b=c(an+b)n=ac(a^n+b)^n=ac(an+b)n=ac✅ Correct Option: 4Related questions:If log25[5log3(1+log3(1+2log2x))]=12\log_{25} [5 \log_3 (1+\log_3(1+2\log_2x))] = \frac12log25[5log3(1+log3(1+2log2x))]=21 then xxx is:The product of the roots of the equation log22(log2x)2−5log2x+6=0\log_{2} 2^{(\log_{2}x)^{2}} -5 \log_{2}x+6=0log22(log2x)2−5log2x+6=0 isThe 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 is