標題:
中5數學 急！！
發問:
(i）Express x√x in index form. (ii) Simplify (logx√x+3logy)/3 (iii) Simplify {9 log(√x) y}/ （logx√x+3logy）
最佳解答:
i) x√x = (x^1)(x ^ 1/2) = x ^ (1 + 1/2) = x ^ 3/2 ii) (logx√x+3logy)/3 = (log (x ^ 3/2) + log y^3) / 3 = (1/3) log [(x ^3/2)(y^3)] = log [(x ^3/2)(y^3)] ^ 1/3 = log [(x ^ 1/2)y] = log (√x y) iii) {9 log(√x) y}/ （logx√x+3logy） = {9 log(√x) y} / { 3 log (√x y) }..............By (ii) = 3
其他解答:
中5數學 急！！
發問:
(i）Express x√x in index form. (ii) Simplify (logx√x+3logy)/3 (iii) Simplify {9 log(√x) y}/ （logx√x+3logy）
最佳解答:
i) x√x = (x^1)(x ^ 1/2) = x ^ (1 + 1/2) = x ^ 3/2 ii) (logx√x+3logy)/3 = (log (x ^ 3/2) + log y^3) / 3 = (1/3) log [(x ^3/2)(y^3)] = log [(x ^3/2)(y^3)] ^ 1/3 = log [(x ^ 1/2)y] = log (√x y) iii) {9 log(√x) y}/ （logx√x+3logy） = {9 log(√x) y} / { 3 log (√x y) }..............By (ii) = 3
其他解答:
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