Câu hỏi của Nguyễn Kim Ngân

Question

tìm x(x + 1) mũ 3 = 1252 mũ x + 2 mũ x +3 ( số 3 là số mũ) =576

Võ Đông Anh Tuấn · Accepted Answer

$\left(x+1\right)^3=125$$\left(x+1\right)^3=\sqrt[3]{125}$$\left(x+1\right)=5$$x=5-1$$x=4$$2^x+2^{x+3}=576$$2^x\left(1+2^3\right)=576$$2^x=576:9$$2^x=64$$2^x=2^6$$\Rightarrow x=6$Câu trả lời: $\left(x+1\right)^3=125$$\left(x+1\right)^3=\sqrt[3]{125}$$\left(x+1\right)=5$$x=5-1$$x=4$$2^x+2^{x+3}=576$$2^x\left(1+2^3\right)=576$$2^x=576:9$$2^x=64$$2^x=2^6$$\Rightarrow x=6$

Hà Phương · Answer

$2^x+2^{x+3}=576$$\Rightarrow2^x+2^x.2^3=24^2$$\Rightarrow2^x\left(1+2^3\right)=24^2$$\Rightarrow2^x+3^2=24^2$$\Rightarrow2^x=\left(24:3\right)^2$$\Rightarrow2^x=8^2$$\Rightarrow2^x=\left(2^3\right)^2$$\Rightarrow2^x=2^6$$\Rightarrow x=6$Câu trả lời: $2^x+2^{x+3}=576$$\Rightarrow2^x+2^x.2^3=24^2$$\Rightarrow2^x\left(1+2^3\right)=24^2$$\Rightarrow2^x+3^2=24^2$$\Rightarrow2^x=\left(24:3\right)^2$$\Rightarrow2^x=8^2$$\Rightarrow2^x=\left(2^3\right)^2$$\Rightarrow2^x=2^6$$\Rightarrow x=6$

Nguyễn Trần An Thanh · Answer

a, $\left(x+1\right)^3=125\Rightarrow\left(x+1\right)^3=5^3$$\Rightarrow x+1=5$$\Rightarrow x=5-1=4$b, $2^x+2^{x+3}=576$$\Rightarrow2^x+2^x.2^3=576$  $\Rightarrow2^x\left(1+2^3\right)=576$ $\Rightarrow2^x.9=576$$\Rightarrow2^x=\frac{576}{9}=64$  $\Rightarrow2^x=2^6$ $\Rightarrow x=6$Câu trả lời: a, $\left(x+1\right)^3=125\Rightarrow\left(x+1\right)^3=5^3$$\Rightarrow x+1=5$$\Rightarrow x=5-1=4$b, $2^x+2^{x+3}=576$$\Rightarrow2^x+2^x.2^3=576$  $\Rightarrow2^x\left(1+2^3\right)=576$ $\Rightarrow2^x.9=576$$\Rightarrow2^x=\frac{576}{9}=64$  $\Rightarrow2^x=2^6$ $\Rightarrow x=6$

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