(7x−11)³ = 2⁵ . 5² + 200

(7x−11)³ = 32 . 25 + 200

(7x−11)³ = 1000

(7x−11)³ = 10³

7x−11 = 10

7x       = 10 + 11

7x       = 21

  x      = 21 : 7

  x = 3

giúp mik ik mik tic cho

(7x−11)³ = 2⁵ . 5² + 200

(7x−11)³ = 32 . 25 + 200

(7x−11)³ = 1000

(7x−11)³ = 10³

7x−11 = 10

7x       = 10 + 11

7x       = 21

  x      = 21 : 7

  x = 3

a) \(2^x\)\(-\)\(64\)\(=\)\(2^6\)

    \(2^x\)\(-\)\(2^6\)\(=\)\(2^6\)

           \(2^x\)          \(=\)\(2^6\)\(+\)\(2^6\)

           \(2^x\)          \(=\) \(64\)\(+\)\(64\)

            \(2^x\)         \(=\)        \(128\)

  \(\Rightarrow\) \(2^x\)          \(=\)         \(2^7\)

b) \(\left(7x-11\right)\)\(^3\)\(=\)\(2^5\)\(.\)\(5^2\)\(+\)\(200\)

    \(\left(7x-11\right)\)\(^3\)\(=\)\(32\)\(.\)\(25\)\(+\)\(200\)

    \(\left(7x-11\right)\)\(^3\)\(=\)           \(1000\)

    \(\left(7x-11\right)\)\(^3\)\(=\)            \(10^3\)

\(\Rightarrow\)\(7x-11\)\(=\)\(10\)

               \(7x\)       \(=\)\(10+11\)

               \(7x\)        \(=\)    \(21\)

                  \(x\)        \(=\) \(21\)\(:\)\(7\)

                 \(x\)         \(=\)      \(3\)

\(2^x-64=2^6\)

\(2^x-64=64\)

\(2^x=64+64\)

\(2^x=128\)

\(\)Vì \(128=2^7\) \(\Rightarrow x=7\)

a, 2^x-64=2⁶

=> 2^x-64=64

=> 2^x=64-64

=> 2^x=0

=> x=0

b, (7x-11)³=2⁵.5²+200

=> (7x-11)³=32.25+200

=> (7x-11)³=1000

=> (7x-11)³=10³

=> 7x-11=10

=> 7x=10+11

=> 7x=21

=> x=21:7

=> x=3

\(\left(7x-11\right)^3=2^5.5^2+200\)

\(\Leftrightarrow\left(7x-11\right)^3=1000\)

\(\Leftrightarrow7x-11=10\)

\(\Leftrightarrow7x=21\)

\(\Leftrightarrow x=3\)

\(\left(7x-11\right)^3=2^5.5^2+200\)

\(\Rightarrow\left(7x-11\right)^3=32.25+200\)

\(\Rightarrow\left(7x-11\right)^3=800+200\)

\(\Rightarrow\left(7x-11\right)^3=1000=10^3\)

\(\Rightarrow7x-11=10\)

\(\Rightarrow7x=21\)

\(\Rightarrow x=3\)

\(\left(7x-11\right)^3=2^5.5^2+200\)

\(\Rightarrow\left(7x-11\right)^3=32.25+200\)

\(\Rightarrow\left(7x-11\right)^3=800+200\)

\(\Rightarrow\left(7x-11\right)^3=1000=10^3\)

\(\Rightarrow7x-11=10\)

\(\Rightarrow7x=21\)

\(\Rightarrow x=3\)

(7x-11)³ = 2⁵.5²+ 2³.5²

(7x-11)³ = 2³.5²( 2²+1)

(7x-11)³ = 2³.5³=(2.5)³ 

7x-11=10

x=3

ban anhduc1501 hinh nhu lam chua dung to nghi vay

(7x - 11)³ = 2⁵ . 5² + 200

(7x - 11)³ = 32 . 25 + 200

(7x - 11)³ = 800 + 200

(7x - 11)³ = 1000

(7x - 11)³ = 10³

7x - 11 = 10

7x = 21

x = 3

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\(a.x^{10}=x\)

\(=>x=1\)

a) \(x^{10}=x\)

\(\Rightarrow x^{10}-x=0\)

\(\Rightarrow x\left(x^9-1\right)=0\)

=> x=0 HOẶC   \(x^9-1=0\)

=>x=0 HOẶC     x=1

a, \(\left(x-1\right)^3=125\)

\(\Rightarrow x-1=5\Rightarrow x=6\)

b, \(\left(2x+1\right)^3=343\)

\(\Rightarrow2x+1=7\Rightarrow x=3\)

c, \(\left(7x-11\right)^3=2^5.5^2+200\)

\(\Rightarrow\left(7x-11\right)^3=32.25+200\)

\(\Rightarrow\left(7x-11\right)^3=1000\)

\(\Rightarrow7x-11=10\Rightarrow x=3\)

Chúc bạn học tốt!!!

a) \(\left(x-1\right)^3=125\Leftrightarrow\left(x-1\right)^3=5^3\Rightarrow x-1=5\)

\(\Leftrightarrow x=6\) vậy \(x=6\)

b) \(\left(2x+1\right)^3=343\Leftrightarrow\left(2x+1\right)^3=7^3\Rightarrow2x+1=7\)

\(\Leftrightarrow2x=6\Leftrightarrow x=\dfrac{6}{2}=3\) vậy \(x=3\)

c) \(\left(7x-11\right)^3=2^5.5^2+200\Leftrightarrow\left(7x-11\right)^3=32.25+200\)

\(\Leftrightarrow\left(7x-11\right)^3=800+200=1000=10^3\Rightarrow7x-11=10\)

\(\Leftrightarrow7x=21\Leftrightarrow x=\dfrac{21}{7}=3\) vậy \(x=3\)

\(\left(x-1\right)^3=125\)

\(\Rightarrow\left(x-1\right)^3=5^3\)

\(\Rightarrow x-1=5\)

\(\Rightarrow x=6\)

\(\left(2x+1\right)^3=343\)

\(\Rightarrow\left(2x+1\right)^3=7^3\)

\(\Rightarrow2x+1=7\)

\(\Rightarrow2x=6\)

\(\Rightarrow x=3\)

\(\left(7x-11\right)^3=2^5.5^2+200\)

\(\Rightarrow\left(7x-11\right)^3=32.25+200\)

\(\Rightarrow\left(7x-11\right)^3=1000\)

\(\Rightarrow\left(7x-11\right)^3=10^3\)

\(\Rightarrow7x-11=10\)

\(\Rightarrow7x=21\)

\(\Rightarrow x=3\)

Ta có: \(\left(7x-11\right)^3=2^5+5^2+200=1000\)

\(\Rightarrow\left(7x-11\right)^3=10^3\)

\(\Rightarrow7x-11=10\)

\(\Rightarrow7x=21\)

\(\Rightarrow x=3\)

Trả lời:

\(\left(7x-11\right)^3=2^5.5^2+200\)

\(\Leftrightarrow\left(7x-11\right)^3=32.25+200\)

\(\Leftrightarrow\left(7x-11\right)^3=800+200\)

\(\Leftrightarrow\left(7x-11\right)^3=1000\)

\(\Leftrightarrow7x-11=10\)

\(\Leftrightarrow7x=21\)

\(\Leftrightarrow x=3\)

Vậy\(x=3\)

Hok tốt!

Good girl

\(\left(7\text{x}-11\right)^3=2^5\text{ }.\text{ }5^2+200.\)

\(\left(7\text{x}-11\right)^3=32\text{ }.\text{ }25+200.\)

\(\left(7\text{x}-11\right)^3=800+200.\)

\(\left(7\text{x}-11\right)^3=1000.\)

\(\left(7\text{x}-11\right)^3=10^3.\)

\(\Rightarrow\text{ }\text{7x}-11=10.\)

\(\text{7x}=10+11\)

\(\text{7x}=21\)

\(x=21\div7\)

\(x=3\)

Vậy \(x=3\)

\(\left(3x-1\right)^3=25\left(3x-1\right)\\ \Leftrightarrow\left(3x-1\right)^2=25\\ \Leftrightarrow\left[{}\begin{matrix}3x-1=5\\3x-1=-5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-\dfrac{4}{3}\end{matrix}\right.\\ \left(3x-14\right)^3=2^5\cdot5^2+200\\ \Leftrightarrow\left(3x-14\right)^3=1000=10^3\\ \Leftrightarrow3x-14=10\Leftrightarrow x=8\)

\(\left(3x-1\right)^3=25\left(3x-1\right)\)

\(\Rightarrow\left(3x-1\right)\left(9x^2-6x+1-25\right)=0\)

\(\Rightarrow\left(3x-1\right)\left(9x^2-6x-24\right)=0\)

\(\Rightarrow3\left(3x-1\right)\left(x-2\right)\left(3x+4\right)=0\)

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

\(\left(3x-14\right)^3=2^5.5^2+200\)

\(\Rightarrow\left(3x-14\right)^3=1000\)

\(\Rightarrow3x-14=10\Rightarrow3x=24\Rightarrow x=8\)

a) 2

b) 8