三道空题,求数学学霸解
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4. = log(2) (5^-2) x log(3) (2^-3) x log(5) (3^-2) = - 12 x log(2)5 x log(5)3 x log(3)2 = -12(换底公式)
6. = log3/log4 x 1/4 log32 / (lg2-log3) = log3/2log2 x 1/4 x 5 log2 / (log2-log3) = 5/8 log3/(log2-log3)
8, log(2)((x^2 - 5)*2) = log(2) (4x+6)
2x^2 - 10 = 4x + 6
x^2 -2x -8 = 0,
(x-4)(x+2) = 0, x = 4, -2
负数无意义
所以x = 4
6. = log3/log4 x 1/4 log32 / (lg2-log3) = log3/2log2 x 1/4 x 5 log2 / (log2-log3) = 5/8 log3/(log2-log3)
8, log(2)((x^2 - 5)*2) = log(2) (4x+6)
2x^2 - 10 = 4x + 6
x^2 -2x -8 = 0,
(x-4)(x+2) = 0, x = 4, -2
负数无意义
所以x = 4
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