IIM-K (BMSAT) 2025Modern Math > Mediumlog8(16x35)\log_{8} (\frac{16x}{35})log8(3516x)log2(5x2)\log_{2} (\frac{5x}{2})log2(25x)logx(12835)\log_{x} (\frac{128}{35})logx(35128)logx(140320)\log_{x} (\frac{1}{40320})logx(403201)✅ Correct Option: 3Related questions:IPMAT Indore 2020The value of (0.04log5(14+18+116+...))(0.04^{log_{\sqrt{5}}(\frac{1}{4} + \frac{1}{8} + \frac{1}{16} + ...)})(0.04log5(41+81+161+...)) is __________.IPMAT Indore 2019Suppose that a, b, and c are real numbers greater than 1. Then the value of 11+loga2bca+11+logb2cab+11+logc2abc\dfrac{1}{1+\log_{a^2 b} \frac{c}{a}} + \dfrac{1}{1+\log_{b^2 c} \frac{a}{b}} + \dfrac{1}{1+\log_{c^2 a} \frac{b}{c}}1+loga2bac1+1+logb2cba1+1+logc2acb1 isIPMAT Indore 2024The 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 is