3^2x-3 =3².3³ = 3⁵

2x - 3 = 5

2x = 8

x=4

Sai

mình ghi thiếu thông cảm nha

\(720:\left[41-\left(2x-5\right)\right]=2^2.5\\ =>720:\left(41-2x+5\right)=4.5=20\\ =>46-2x=720:20=36\\ =>2x=46-36=10\\ =>x=5\)

\(720:\left[41-\left(2x-5\right)\right]=2^2\cdot5\)

\(\Rightarrow720:\left[41-\left(2x-5\right)\right]=4\cdot5\)

\(\Rightarrow720:\left[41-\left(2x-5\right)\right]=20\)

\(\Rightarrow41-\left(2x-5\right)=720:20\)

\(\Rightarrow41-\left(2x-5\right)=36\)

\(\Rightarrow2x-5=41-36\)

\(\Rightarrow2x-5=5\)

\(\Rightarrow2x=5+5\)

\(\Rightarrow2x=10\)

\(\Rightarrow x=\dfrac{10}{2}\)

\(\Rightarrow x=5\)

A=(7+7³).(1+7+7²+7³+..+7⁹)

=350.B

Vì 350 chia hết cho 10 nên A chia hết cho 10

=

Lời giải:
$x+(x+1)+(x+2)+.....+(x+49)+50+51=1776$

$[\underbrace{(x+x+....+x)}_{50}+(1+2+3+....+49)]+50+51=1776$

$x\times 50+(1+2+3+....+50+51)+1776$

$x\times 50+51\times 52:2=1776$

$x\times 50+1326=1776$

$x\times 50=450$

$x=450:50=9$

Đặt: \(A=9^9+9^{10}+...+9^{20}\) 

\(9A=9\cdot\left(9^9+9^{10}+...+9^{20}\right)\)

\(9A=9^{10}+9^{11}+...+9^{21}\)

\(9A-A=9^{10}+9^{11}+...+9^{21}-9^9-9^{10}-...-9^{20}\)

\(8A=9^{21}-9^9\)

\(A=\dfrac{9^{21}-9^9}{8}\)

Đặt $A=9^9+9^{10}+...+9^{20}$

$9\cdot A=9\cdot(9^9+9^{10}+...+9^{20})$

$9A=9^{10}+9^{11}+...+9^{21}$

$9A-A=(9^{10}+9^{11}+...+9^{21})-(9^9+9^{10}+...+9^{20})$

$8A=9^{21}-9^9$

$\Rightarrow A=\dfrac{9^{21}-9^9}{8}$

\(4\cdot5^2-3\cdot2^3+3^3\cdot3^2\)

\(=4\cdot25-3\cdot8+3^{2+3}\)

\(=100-24+3^5\)

\(=100-24+243\)

\(=343-24\)

\(=319\)

3n + 5 chia hết cho 2n + 1 

⇒ 2(3n + 5) chia hết cho 2n + 1

⇒ 6n + 10 chia hết cho 2n + 1

⇒ 6n + 3 + 7 chia hết cho 2n + 1

⇒ 3(2n + 1) + 7 chia hết cho 2n + 1

⇒ 7 chia hết cho 2n + 1

⇒ 2n + 1 ∈ Ư(7) = {1; -1; 7; -7} 

⇒ n ∈ {0; -1; 3; -4}

Mà: n ∈ N

⇒ n ∈ {0; 3} 

\(A=24\cdot6^3\)

\(A=4\cdot6\cdot\left(2\cdot3\right)^3\)

\(A=2^2\cdot2\cdot3\cdot2^3\cdot3^3\)

\(A=\left(2^2\cdot2\cdot2^3\right)\cdot\left(3\cdot3^3\right)\)

\(A=2^6\cdot3^4\)

A = 24.6³

A  = 2³.3.2³.3³

A = 2⁶.3⁴