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14 tháng 9 2019

Theo đề bài ta có : 

\(7^{2x}+7^{2x+2}=2450\)

\(\Rightarrow7^{2x}.\left(1+7^2\right)=2450\)

\(\Rightarrow7^{2x}.50=2450\)

\(\Rightarrow7^{2x}=2450:50\)

\(\Rightarrow7^{2x}=49\)

\(\Rightarrow7^{2x}=7^2\)

\(\Rightarrow2x=2\)

\(\Rightarrow x=2:2\)

\(\Rightarrow x=1\)

Vậy \(x=1\)

30 tháng 12 2022

b) \(\left(x-1\right)^3=\dfrac{1}{8}\)

    \(\left(x-1\right)^3=\left(\dfrac{1}{2}\right)^3\)

     \(x-1=\dfrac{1}{2}\)

     \(x=\dfrac{1}{2}+1\)

     \(x=\dfrac{3}{2}\)

 

24 tháng 5 2023

(5 - \(x\))(9\(x^2\) - 4) =0

\(\left[{}\begin{matrix}5-x=0\\9x^2-4=0\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=5\\9x^2=4\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=5\\x^2=\dfrac{4}{9}\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=5\\x=-\dfrac{2}{3}\\x=\dfrac{2}{3}\end{matrix}\right.\)

Vậy \(x\) \(\in\) { - \(\dfrac{2}{3}\)\(\dfrac{2}{3}\)\(5\)}

 

24 tháng 5 2023

72\(x\)  + 72\(x\) + 3 = 344

72\(x\)  \(\times\) ( 1 + 73) = 344

72\(x\)  \(\times\) (1 + 343) = 344

72\(x\)  \(\times\) 344        = 344

72\(x\)                    = 344 : 344

72\(x\)                  = 1

72\(x\)                 =  70

\(2x\)                  = 0

\(x\)                   = 0

Kết luận: \(x\) = 0

AH
Akai Haruma
Giáo viên
17 tháng 12 2021

Lời giải:
$7^{2x-6}=49=7^2$

$\Rightarrow 2x-6=2$

$\Rightarrow 2x=8$

$\Rightarrow x=4$

12 tháng 4 2018

=> 72x - 20,25 + 162 = 0

=> 72x = -162 + 20,25

=> x = -63/32

a: =>2^x*4-2^x*3=32

=>2^x=32

=>x=5

b: =>(4x-3)^2-(4x-3)=0

=>(4x-3)(4x-3-1)=0

=>(4x-3)(4x-4)=0

=>x=3/4 hoặc x=1

c: =>7^2x+7^2x*7^3=344

=>7^2x=1

=>2x=0

=>x=0

d: =>(7x-3)^2012-(7x-3)^2010=0

=>(7x-3)^2010*[(7x-3)^2-1]=0

=>(7x-3)^2010*(7x-4)(7x-2)=0

=>x=2/7; x=4/7; x=3/7

e: =>(4x^2-3)^3=-8

=>4x^2-3=-2

=>4x^2=1

=>x^2=1/4

=>x=1/2 hoặc x=-1/2

8 tháng 8 2023

a) 2x(22 - 3) = 32

2x.1=25

=> x = 5

b) (4x - 3)2 = 4x -3

=> (4x - 3)2 - (4x - 3) = 0

(4x-3)[(4x - 3) - 1] = 0

(4x-3)(4x - 4)=0

\(\Rightarrow\left[{}\begin{matrix}4x-3=0\\4x-4=0\end{matrix}\right.\)         \(\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{4}\\x=1\end{matrix}\right.\)

c) 72x + 72x+3 = 344

=> 72x(1 + 73) =344

72x . 344 = 344

=> 2x = 0  => x = 0

d) (7x - 3)2012 = (3 - 7x)2010

=> (7x - 3)2012 - (7x - 3)2010 = 0

(7x - 3)2010 [(7x - 3)2 - 1] = 0

\(\Rightarrow\left[{}\begin{matrix}7x-3=0\\\left(7x-3\right)^2=1\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{7}\\7x=4\\7x=2\end{matrix}\right.\)                 \(\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{7}\\x=\dfrac{4}{7}\\x=\dfrac{2}{7}\end{matrix}\right.\)

e) (4x2 - 3)3 + 8 = 0

(4x2 - 3)3 = (-2)3

=> 4x2 - 3 = -2

4x2 = 1

x2 = 1/4

=> \(x=\pm\dfrac{1}{2}\)

28 tháng 7 2016

CỨU MÌNH VỚI !!!!!!!!!!!!!!

20 tháng 11 2016

CÁCH 1:     72 x ( 5 - 1 )                                                                         CÁCH 2:       72 x ( 5 - 1 )

              = 72 x 4                                                                                                    = 72 x 5 - 72 x 1

             =288                                                                                                          = 360     -  72

                                                                                                                              =  288

20 tháng 11 2016

cách 1:72 x [ 5-1]

= 72x4

=288

11 tháng 6 2016

My family has a lot of people: grandparents, parents, young brother and I. I love all people but they are the most precious father.

My father is Trung, this year he is more than forty years old. Age is most evident on the father's hair. How many worries, struggling with time to make black hair day time point of silver. Years of hard work have made the announcement darken the skin for the sun. Everyone told me that for the first time will mistakenly published less than 40 because dad looked very tre. He is always about me. My dad's face though sunburn but still see the youthful. Eyes bright with dark eyebrows ram. Eyes often sparkled seemed resilient but very quiet when you have a nose am. He has a straight along coconut nurse. My father's mouth is fresh smile, good talking. He is very good.

At home, he is often plant tree. His trees grow as blowing. In the evening, he is often read newspapers. He always watch televison for an hour. Then, he guides us learning. He is always help neighbors. With colleagues, he is a good man. So, pepole always loved him.

We all loved him. Merit of dad is a Thai Son mountain. So, in each business, I wish he returns with family soon.
 

29 tháng 11 2017

đáp án c