[toán 12] logarit

N

nguyenbahiep1

b) [TEX] log_3(x^3 + 2)- 1= log_{27}(3x-2)[/TEX]

[laTEX]x > \frac{2}{3} \\ \\ x^3+2 = 3.\sqrt[3]{3x-2} \\ \\ \sqrt[3]{3x-2} = u \Rightarrow u^3 = 2 = 3x \\ \\ \begin{cases} x^3+2 = 3u \\ u^3 +2 = 3x \end{cases} \\ \\ \Rightarrow u = x \Rightarrow \sqrt[3]{3x-2} = x \Rightarrow x = 1[/laTEX]
 
Top Bottom