a) \(\left(2x-1\right)^3=27\)
\(\Rightarrow\left(2x-1\right)^3=3^3\)
\(\Rightarrow2x-1=3\)
\(\Rightarrow2x=3+1=4\)
\(\Rightarrow x=4:2=2\)
b) \(\left(2x+1\right)^3=125\)
\(\Rightarrow\left(2x+1\right)^3=5^3\)
\(\Rightarrow2x+1=5\)
\(\Rightarrow2x=5-1=4\)
\(\Rightarrow x=4:2=2\)
c) \(\left(x+2\right)^3=\left(2x\right)^3\)
\(\Rightarrow x+2=2x\)
\(\Rightarrow2=2x-2=1x\)
\(\Rightarrow x=2:1=2\)
d) \(\left(2x-1\right)^7=x^7\)
\(\Rightarrow2x-1=x\)
\(\Rightarrow-1=x-2x\)
\(\Rightarrow-1=-x\)
\(\Rightarrow x=1\)
