3 and 9

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3   and  9

3 and 9



 3   and  9 

3 and 9
第二项 log3(x^3) = 3 log3(x)
不妨假设 log3(x) =y
采用新的变量y以后,原方程变成
y^2-3y+2=0
y=1或2
也就是 log3(x)=1或2
x= 3 或 9


log3[x^3]=3log3[x]
故原式可写为
(log3[x])^2-3log3[x]+2=0
即 (log3[x]-1)(log3[x]-2)=0
解得 log3[x]=1
或 log3[x]=2
即 x=3
或 x=9

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