求2个例题的解法 (1) 4^x+2^x-6=0 (2) a^(x^2-5x)>a^(x+7) (a>0且a不等于1)求x取值范围
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![求2个例题的解法 (1) 4^x+2^x-6=0 (2) a^(x^2-5x)>a^(x+7) (a>0且a不等于1)求x取值范围](/uploads/image/z/14995037-29-7.jpg?t=%E6%B1%822%E4%B8%AA%E4%BE%8B%E9%A2%98%E7%9A%84%E8%A7%A3%E6%B3%95+%EF%BC%881%EF%BC%89+4%5Ex%2B2%5Ex-6%3D0+%EF%BC%882%EF%BC%89+a%5E%28x%5E2-5x%29%3Ea%5E%28x%2B7%29+%28a%3E0%E4%B8%94a%E4%B8%8D%E7%AD%89%E4%BA%8E1%EF%BC%89%E6%B1%82x%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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求2个例题的解法 (1) 4^x+2^x-6=0 (2) a^(x^2-5x)>a^(x+7) (a>0且a不等于1)求x取值范围
求2个例题的解法 (1) 4^x+2^x-6=0 (2) a^(x^2-5x)>a^(x+7) (a>0且a不等于1)求x取值范围
求2个例题的解法 (1) 4^x+2^x-6=0 (2) a^(x^2-5x)>a^(x+7) (a>0且a不等于1)求x取值范围
(1) 4^x+2^x-6=0
(2^x)^2+2^x-6=0
(2^x-2)(2^x+3)=0
2^x-2=0 (因为2^x+30)
2^x=2
x=1
(2) a^(x^2-5x)>a^(x+7)
a>1时,x^2-5x>x+7
x^2-6x-7>0
(x-7)(x+1)>0
x>7或x