\(2\left(x+1\right)-1=3\\ 2\left(x+1\right)=4\\ x+1=2\\ x=1\)

\(2\left(x+1\right)-1=3\)

\(2\left(x+1\right)=3+1\)

\(2\left(x+1\right)=4\)

\(x+1=4:2\)

\(x+1=2\)

\(x=2-1\)

\(x=1\)

\(B=16.\left(13+87\right)+100.\left(84+2\right)\\ B=16.100+100.86\\ B=100.\left(16+86\right)=100.102\\ B=10200\)

\(B=208+8400+1392+200=10200\)

\(10+2x=4^5:4^3\)

\(10+2x=4^2=16\)

\(2x=16-10\)

\(2x=6\)

\(x=6:2\)

\(x=3\)

\(2x+10=4^5:4^3\\ 2x+10=4^2\\ 2x+10=16\\ 2x=6\\ x=3\)

Vậy x = 3

Đây là dãy số nguyên tố nên không có quy luật.
11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271,...

 vì đây là dãy số nguyên tố nên k có quy luật cụ thể....., 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271,275....

\(a.13.\left(78+22\right)=13.100=1300\)

\(b.25.70+28.25+25.2=25.\left(70+28+2\right)=25.100=2500\)

\(c.\dfrac{15.3.14.2.19}{19.14.15}=6\)

\(d.\dfrac{132.70.60}{12.35.20}=\dfrac{11.12.35.2.20.3}{12.35.20}=66\)

Lời giải:

$7^{5x}:49=7^{28}$

$7^{5x}:7^2=7^{28}$

$7^{5x-2}=7^{28}$

$\Rightarrow 5x-2=28$

$\Rightarrow 5x=30$
$\Rightarrow x=6$

b.
$5^{2x}.5^{14}=5^{30}$

$5^{2x+14}=5^{30}$

$\Rightarrow 2x+14=30$

$\Rightarrow 2x=16$

$\Rightarrow x=8$

a) 7^5x:49=7^28

    7^5x:7^2=7^28

     7^5x=7^28.7^2

      7^5x=7^30

suy ra 5x=30

             x= 6

Lời giải:

$A=\left\{0; 8; 16; 24; 32; 40; 48; 56; 64; 72\right\}$

\(x⋮6\)

\(\Rightarrow x\in B\left(6\right)\)

\(B\left(6\right)=\left\{0;6;12;18;24;30;...\right\}\)

Bạn cần ghi đầy đủ đề bài để mọi người hỗ trợ bạn tốt hơn.

\(88.88=7744\)