\(a,\)\(25+3\left(x-8\right)=106.\)

\(\Rightarrow25+3x-24=106\)

\(\Rightarrow3x+1=106\)

\(\Rightarrow3x=105\)\(\Rightarrow x=35\)

\(b,3^2\left(x+4\right)-5^2=5.22\)

\(\Rightarrow9\left(x+4\right)-25=110\)

\(\Rightarrow9x+36-25=110\)

\(\Rightarrow9x+11=110\)

\(\Rightarrow9x=99\Leftrightarrow x=11\)

\(a,25:3\left(x-8\right)=106\)

\(\Rightarrow25+3x-24=106\)

\(\Rightarrow3x+1=106\)

\(\Rightarrow x=35\)

\(b,3^2\left(x+4\right)-5^2=5.22\)

\(\Rightarrow9x+36-25=110\)

=\(9x+11=110\)

\(\Rightarrow9x=99\)

\(\Rightarrow x=11\)

\(75-\left(3.5^2-4.2^3\right)\)

\(=75-3.25+4.8\)

\(=75-75+32\)

\(=32\)

\(72:\left[32+\left(100-2^2.17\right):8\right]\)

\(=72:\left[32+\left(100-4.17\right):8\right]\)

\(=72:\left[32+\left(100-68\right):8\right]\)

\(=72:\left(32+32:8\right)\)

\(=72:\left(32+4\right)\)

\(=72:36\)

\(=2\)

a) 135 - 5(x + 4) = 35 

<=> 135 - 5x - 20 = 35

<=> 115 - 5x = 35

<=> 5x = 115 - 35 

<=> 5x = 80 

<=> x = 16

b) 25 + 3 (x - 8) = 106

=>        3 ( x - 8) = 106 - 25

=>        3 ( x - 8) = 81

=>           ( x - 8) = 81: 3

=>             x - 8  = 27

=>             x       = 27 + 8

=>             x       = .......

1) 

a) 1+5+5^2+5^3+....+5^101 

=(1+5)+(5^2+5^3)+....+(5^100+5^101)

=6+5^2.(1+5)+...+5^100(1+5)

=6+5^2.6+...+5^100.6 chia hết cho 6 , vì mỗi số hạng đều chia hết cho 6 

b) 2+2^2+2^3+...+2^2016

=(2+2^2+2^3+2^4+2^5)+(2^6+2^7+2^8+2^9+1^10)+....+(2^2012+2^2013+2^2014+2^2015+2^2016)

=2.31+2^6.31+...+2^2012.31 chia hết cho 31

Tương tự như câu a lên mk rút gọn 

2) còn bài a kì quá abc deg là sao nhỉ 

b) abc chia hết cho 8 nên a ; b hoặc c chia hết cho 8 

bạn nghĩ thử đi bài 2b dễ lắm nếu ko bt thì hỏi lại 

đúng ko

2 . 3 ^x + 4 . 5 ² = 154

2 . 3 ^x +100     = 154

2 . 3 ^x              = 54

     3 ^x                     = 27

     3 ^x              = 3 ³

=> x = 3

2 ^{4x - 3}  + 74 = 106

2 ^{4x - 3}              = 32

2 ^{4x - 3}              = 2 ⁵

=> 4x - 3 = 5

     4x      = 8

       x      = 2

 5^x : 5² = 625

5^x : 5² = 5⁴

5^x  = 5^4. 5²

5^x  = 5⁶

^{\(\Rightarrow\)}x = 6

Vậy x =6

 5^x : 5² = 625

5^x-2=625

x-2=4

x=6

~~~~~~~~~~~~~Ai đi ngang qua nhớ để lại ti ck thanks~~~~~~~~~~~

Trả lời:

\(103-57:\left\{-2\left[2x-1\right]^2-\left[-9\right]^0\right\}=\left[-106\right]\)

\(\Leftrightarrow103-57:\left[-2\left(2x-1\right)^2-1\right]=-106\)

\(\Leftrightarrow57:\left[-2\left(2x-1\right)^2-1\right]=209\)

\(\Leftrightarrow-2\left(2x-1\right)^2-1=\frac{3}{11}\)

\(\Leftrightarrow-2\left(2x-1\right)^2=\frac{3}{11}+1\)

\(\Leftrightarrow-2\left(2x-1\right)^2=\frac{14}{11}\)

\(\Leftrightarrow\left(2x-1\right)^2=\frac{14}{11}\div\left(-2\right)\)

\(\Leftrightarrow\left(2x-1\right)^2=\frac{14}{11}\times\frac{-1}{2}\)

\(\Leftrightarrow\left(2x-1\right)^2=\frac{-7}{11}\)

\(\Leftrightarrow2x-1\in\varnothing\)Vì\(\left(2x-1\right)^2\ge0\)với\(\forall x\)

\(\Leftrightarrow x\in\varnothing\)

Vậy\(x\in\varnothing\)

Hok tốt!

Good girl