{"common":{"save":0,"post_id":"7099","level":1,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5342","post_id":"7099","mon_id":"1158924","chapter_id":"1159168","question":"<p>V\u1edbi a là s\u1ed1 d\u01b0\u01a1ng tùy ý khác 1, <span class=\"math-tex\">$\\log_a \\sqrt{a}$<\/span> b\u1eb1ng<\/p>","options":["<strong>A.<\/strong> 2","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{2}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{2a}$<\/span>","<strong>D.<\/strong> 2a"],"correct":"2","level":"1","hint":"","answer":"<p><span class=\"math-tex\">$\\log_a \\sqrt{a}=\\log_a a^{\\frac{1}{2}}=\\dfrac{1}{2}$<\/span><\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{2}$<\/span>.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-03-10 04:01:39","option_type":"math","len":0},{"id":"5343","post_id":"7099","mon_id":"1158924","chapter_id":"1159168","question":"<p>Cho a là s\u1ed1 th\u1ef1c d\u01b0\u01a1ng khác 7. Tính <span class=\"math-tex\">$\\log_{\\frac{a}{7}}\\bigg(\\dfrac{a^3}{343}\\bigg)$<\/span> .<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$3$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$-3$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$-\\dfrac{1}{3}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{3}$<\/span>"],"correct":"1","level":"1","hint":"","answer":"<p><span class=\"math-tex\">$\\log_{\\frac{a}{7}}\\bigg(\\dfrac{a^3}{343}\\bigg)$<\/span> = <span class=\"math-tex\">$\\log_{\\frac{a}{7}}\\bigg(\\dfrac{a}{7}\\bigg)^3$<\/span> = <span class=\"math-tex\">$3\\log_{\\frac{a}{7}}\\bigg(\\dfrac{a}{7}\\bigg)$<\/span> = 3<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>A.<\/strong> <span class=\"math-tex\">$3$<\/span>.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-03-10 04:04:53","option_type":"math","len":0},{"id":"5346","post_id":"7099","mon_id":"1158924","chapter_id":"1159168","question":"<p>Giá tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c <span class=\"math-tex\">$4^{\\log_2\\sqrt{3}}$<\/span> b\u1eb1ng<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\sqrt{3}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$3$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$2^{\\sqrt{3}}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$2\\sqrt{3}$<\/span>"],"correct":"2","level":"1","hint":"","answer":"<p><span class=\"math-tex\">$4^{\\log_2\\sqrt{3}}$<\/span> = <span class=\"math-tex\">$2^{2.\\frac{1}{2}{\\log_23}}$<\/span> = <span class=\"math-tex\">$2^{\\log_23}$<\/span> = 3<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B.<\/strong> <span class=\"math-tex\">$3$<\/span>.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-03-10 04:17:17","option_type":"math","len":0}]}
