\(a,\left(x-36\right):\left(2\cdot3^2\right)=2^3\cdot3\\ \Leftrightarrow x-36=432\\ x=468\\ b,2^x=32\\ \Leftrightarrow x=5\\ \Leftrightarrow x^3=27\\ \Leftrightarrow x^3=3^3\\ \Leftrightarrow x=3\\ d,1579+\left(625-x\right)=2023\\ \Leftrightarrow x=1579+625-2023\\ \Leftrightarrow x=181\)
A. \(\left(x-36\right):\left(2.3^2\right)=2^3.3\)
\(\left(x-36\right):\left(2.9\right)=8.3\)
\(\left(x-36\right):18=24\)
\(x-36=24.18\)
\(x-36=432\)
\(x=432+36\)
\(x=468\)
B. \(2^x=32\)
\(2^x=2^5\)
\(x=5\)
C. \(x^3=27\)
\(x^3=3^3\)
\(x=3\)
D. \(1579+\left(625-x\right)=2023\)
\(625-x=2023-1579\)
\(625-x=444\)
\(x=625-444\)
\(x=181\)
a) \(\left(x-36\right)\div\left(2\times3^2\right)=2^3\times3\)
\(\left(x-36\right)\div\left(2\times9\right)=8\times3\)
\(\left(x-36\right)\div18=24\)
\(x-36=432\)
\(x=468\)
b) \(2^x=32\)
\(2^x=2^5\)
\(x=5\)
c) \(x^3=27\)
\(x^3=3^3\)
\(x=3\)
d) \(1579+\left(625-x\right)=2023\)
\(\left(625-x\right)=2023-1579\)
\(625-x=444\)
\(x=625-444\)
\(x=181\)
\(A,\left(x-36\right):\left(2\cdot3^2\right)=2^3\cdot3\\ x-36=2^3\cdot3\cdot2\cdot3^2\\ x-36=216\\ x=252\\ B,2^x=32\\ 2^x=2^5\\ =>x=5\\ C,x^3=27\\ x^3=3^3\\ =>x=3\\ D,1579+\left(625-x\right)=2023\\ 625-x=444\\ x=181\)