1

\(4^{2x-1}:4=4^4\\ \Leftrightarrow4^{2x-2}=4^4\\ \Leftrightarrow2x-2=4\\ \Leftrightarrow2x=6\\ \Leftrightarrow x=3\)

210 . 13 + 210 . 6528 .104

= 210 . ( 13 + 6528 ) . 104

= 210 . 6541 .104

= 142855440

\(X\in\left\{0;12;24;36;48\right\}\)

 Bằng 60 dc ko c nhỉ, đây là tự luận hay gì ạ. E ko bit giải, chỉ bit đáp án thôi, chị cần ko

2^1, 2^3, 2^4 ,3^3, 3^4, 3^1

\(2A=2+\dfrac{1}{2}.6+\dfrac{1}{3}.12+\dfrac{1}{4}.20+...+\dfrac{1}{200}.40200=\)

\(=2+\dfrac{1}{2}.2.3+\dfrac{1}{3}.3.4+\dfrac{1}{4}.4.5+...+\dfrac{1}{200}.200.201=\)

\(=2+3+4+5+...+201=\dfrac{200\left(2+201\right)}{2}\)

\(=20300\Rightarrow A=\dfrac{20300}{2}=10150\)

\(=2023-1^{2020}+1=2023\)

\(=\dfrac{2^7\left(3+2^3\right)}{13.2^7-7.2^7}=\dfrac{2^7\left(3+8\right)}{2^7\left(13-7\right)}=\dfrac{11}{6}\)

Ta có số số hạng của dãy:                        (2018-1) :1+1=2018                                Tổng gtri biểu thức:                                 =(1+2018).2018:2=2019.2018:2=2037171

\(72.125.3\)

\(=9.8.125.3\)

\(=\left(8.125\right).\left(9.3\right)\)

\(=1000.27\)

\(=27000\)

27000

\(a,\left(x-36\right):\left(2\cdot3^2\right)=2^3\cdot3\\ \Leftrightarrow x-36=432\\ x=468\\ b,2^x=32\\ \Leftrightarrow x=5\\ \Leftrightarrow x^3=27\\ \Leftrightarrow x^3=3^3\\ \Leftrightarrow x=3\\ d,1579+\left(625-x\right)=2023\\ \Leftrightarrow x=1579+625-2023\\ \Leftrightarrow x=181\)

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. \(1579+\left(625-x\right)=2023\)

\(625-x=2023-1579\)

\(625-x=444\)

\(x=625-444\)

\(x=181\)