IPMAT Indore 2025Modern Math > Medium1y−a\frac{1}{y-a}y−a1 is proportional to xbx^{b}xby−ay-ay−a is proportional to xbx^{b}xbeye^{y}ey is proportional to xbx^{b}xblogey\log _{e} ylogey is proportional to xxx✅ Correct Option: 3Related questions:The numbers 220242^{2024}22024 and 520245^{2024}52024 are expanded and their digits are written out consecutively on one page. The total number of digits written on the page isThe inequality log23x−12−x<1\log_{2} \frac{3x - 1}{2 - x} < 1log22−x3x−1<1 holds true forIf log4x=a\log_4 x = alog4x=a and log25x=b\log_{25} x = blog25x=b, then logx10\log_x 10logx10 is