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31 tháng 10 2023

\(A=3+3^2+....+3^{99}\)

\(3A=3^2+3^3+...+3^{100}\)

\(3A-A=3^2+3^3+...+3^{100}-3-3^2-...-3^{99}\)

\(2A=3^{100}-3\)

\(A=\dfrac{3^{100}-3}{2}\)

\(\Rightarrow2A+3=9^{2x+6}\)

\(\Rightarrow2\cdot\dfrac{3^{100}-3}{2}+3=\left(3^2\right)^{2x+6}\)

\(\Rightarrow3^{100}-3+3=3^{2\left(2x+6\right)}\)

\(\Rightarrow3^{100}=3^{4x+12}\)

\(\Rightarrow4x+12=100\)

\(\Rightarrow4x=88\)

\(\Rightarrow x=22\)

7 tháng 8 2024

  Bài 1:

2\(x\) = 4

2\(^x\) = 22

 \(x=2\)

Vậy \(x=2\)

7 tháng 8 2024

Bài 2:

2\(^x\) = 8

2\(^x\) = 23

\(x=3\)

Vậy \(x=3\)

7 tháng 1 2021

kkkkk

5 tháng 8 2023

Bài 9,

62x73+36x33=36x73+36x27=36(73+27)=36x100=3600.

197-\([\)6x(5-1)2+20220\(]\):5=197-\([\)6x16+1\(]\):5=197-97:5=197-97/5=888/5.

Bài 10,

21-4x=13

=>4x=21-13=8

=>x=8:4=2.

30:(x-3)+1=45:43=42=16

=>30:(x-3)=16-1=15

=>x-3=30:15=2

=>x=2+3=5.

(x-1)3+5x6=38

=>(x-1)3+30=38

=>(x-1)3=38-30=8=23

=>x-1=2

=>x=3.

14 tháng 10 2018

Bo may la binh day k di hieu ashdbfgbgygygggydfsghuyfhdguuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu3

15 tháng 7 2019

So sánh : và \(72^{44}-72^{43}\)

Ta có :

       \(72^{45}-72^{44}=72^{44}\left(72-1\right)\)

       \(72^{44}-72^{43}=72^{43}\left(72-1\right)\)

Vì 7244 > 7243 => 7244 (72-1)  > 7243 (72-1)

                    hay 7245 -7244 > 7244 - 7243 

            

          

15 tháng 7 2019

Nhanh hộ mọi người😦😦😦😦😦😨

28 tháng 1 2019

\(\text{a) ( x + 1 ) + ( x + 3 ) + ..... + ( x + 99 ) = 0}\)

\(\Rightarrow\left(x+x+x+.....+x\right)+\left(1+3+5+....+99\right)=0\)

\(\text{Ta có :}\)

\(1+3+5+...+99=\frac{\left(99-1\right):2+1.\left(99+1\right)}{2}=2500\)

\(\Rightarrow50x+2500=0\)

\(\Rightarrow50x=-2500\)

\(\Rightarrow x=-50\)