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\(2^{x+3}-2^x=112\)
\(\Rightarrow2^x\left(8-1\right)=112\)
\(\Rightarrow2^x=16=2^4\)
\(\Rightarrow x=4\)
Vậy x=4
Bài làm
\(2^{x+3}-2^x=112\)
\(\Rightarrow2^x.2^3-2^x=112\)
\(\Rightarrow2^x\left(2^3-1\right)112\)
\(\Rightarrow2^x.7=112\)
\(\Rightarrow2^x=112:7\)
\(\Rightarrow2^x=16\)
\(\Rightarrow2^x=4^4\)
\(\Rightarrow x=4\)
Vậy \(x=4\)
# Học tốt #
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\(\dfrac{x}{5}=\dfrac{y}{4}=\dfrac{z}{2}\)
\(\Rightarrow\dfrac{x^3}{125}=\dfrac{y^3}{64}=\dfrac{z^3}{8}=\dfrac{x^3-y^3+z^3}{125-64+8}=\dfrac{69}{69}=1\)
\(\Rightarrow\left\{{}\begin{matrix}x=\sqrt[3]{125}=5\\y=\sqrt[3]{64}=4\\z=\sqrt[3]{8}=2\end{matrix}\right.\)
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3^x + 3^x-2 = 810.
3^x + 3^x.3^2 = 810
3^x . (1 + 3^2) = 810
3^x . 10 = 810
3^x = 81
3^x = 3^4
=> x = 4
Vậy x = 4 Xin 1 tích nha ahehe:)))