\(\left(x+1\right)^3=125\)
\(\left(x+1\right)^3=\sqrt[3]{125}\)
\(\left(x+1\right)=5\)
\(x=5-1\)
\(x=4\)
\(2^x+2^{x+3}=576\)
\(2^x\left(1+2^3\right)=576\)
\(2^x=576:9\)
\(2^x=64\)
\(2^x=2^6\)
\(\Rightarrow x=6\)
\(2^x+2^{x+3}=576\)
\(\Rightarrow2^x+2^x.2^3=24^2\)
\(\Rightarrow2^x\left(1+2^3\right)=24^2\)
\(\Rightarrow2^x+3^2=24^2\)
\(\Rightarrow2^x=\left(24:3\right)^2\)
\(\Rightarrow2^x=8^2\)
\(\Rightarrow2^x=\left(2^3\right)^2\)
\(\Rightarrow2^x=2^6\)
\(\Rightarrow x=6\)
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, \(2^x+2^{x+3}=576\)
\(\Rightarrow2^x+2^x.2^3=576\) \(\Rightarrow2^x\left(1+2^3\right)=576\) \(\Rightarrow2^x.9=576\)
\(\Rightarrow2^x=\frac{576}{9}=64\) \(\Rightarrow2^x=2^6\) \(\Rightarrow x=6\)
a) \(\left(x+1\right)^3=125\)
\(\Rightarrow\left(x+1\right)^3=5^3\)
\(\Rightarrow x+1=5\)
\(\Rightarrow x=4\)
