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標題:
exponential functions
發問:
1. Given that R,x,y,z are integers and R>x>y>z. If R,x,y,z satisfy the equation 2^R+2^x+2^y+2^z=165/8. Find the value of R. 2. Given that 48^x=2 and 48^y=3. Find the value of 8^[(x+y)/(1-x-y)].
最佳解答:
此文章來自奇摩知識+如有不便請留言告知
1)2^R+2^x+2^y+2^z=165/8 2^(R+3) + 2^(x+3) + 2^(y+3) + 2^(z+3) = 165 If R+3 = 2^6 , Max = 2^6 + 2^5 + 2^4 + 2^3 = 120 2^6 If R+3 = 2^8 = 256 > 165 , so R+3 6 If R+3 = 8 = 256 > 165 , so R+3
其他解答:
1. (R, x, y, z)=(4, 2, -1, -3) 2. 6
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