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\(\left(7x-11\right)^3=25.5^2+200\)
\(\left(7x-11\right)^3=25.25+200\)
\(\left(7x-11\right)^3=625+200\)
\(\left(7x-11\right)^3=825\)
Hình như đề sai rồi bạn ơi
a, 7*(x-3) + 4 = 18
<=> 7*(x+3) = 14
<=> x+3=2
<=> x= -1
b, ( 7x - 11)3 =825
<=> 7x - 11=\(\sqrt[3]{825}\)
<=> x=\(\frac{\sqrt[3]{825}+11}{7}\) (loại)
(7x - 11)3 = 25.52 + 200
=> (7x - 11)3 = 800 + 200
=> (7x - 11)3 = 1000
=> (7x - 11)3 = 103
=> 7x - 11 = 10
=> 7x = 10 + 11
=> 7x = 21
=> x = 21 : 7 = 3
3x + 25 = 26.22 + 2.30
=> 3x + 25 = 104 + 2
=> 3x + 25 = 106
=> 3x = 106 - 25
=> 3x = 81
=> 3x = 34
=> x = 4
a)\(\left(7x-11\right)^3=2^5.5^2+200\) b) \(3^x+25=26.2^2+2.3^0\)
\(\left(7x-11\right)^3=32.25+200\) \(3^x+25=26.4+2.1\)
\(\left(7x-11\right)^3=800+200\) \(3^x+25=104+2\)
\(\left(7x-11\right)^3=1000\) \(3^x+25=106\)
\(\Rightarrow\left(7x-11\right)^3=10^3\) \(3^x=106-25\)
\(\Rightarrow7x-11=10\) \(3^x=81\)
\(7x=10+11\) \(3^x=3^4\)
\(x=\frac{21}{7}\) \(\Rightarrow x=4\)
\(x=3\) Vậy x = 4
Vậy x = 3
\(\left(7x-11\right)^3=2^5\cdot5^2+200\cdot2023^0\\ \left(7x-11\right)^3=32\cdot25+200\cdot1\\ \left(7x-11\right)^3=1000\\ \left(7x-11\right)^3=10^3\\ 7x-11=10\\ 7x=21\\ x=\dfrac{21}{7}=3\)
Lời giải:
$(7x-11)^3=2^5.5^2+200.2023^0=32.25+200=1000=10^3$
$\Rightarrow 7x-11=10$
$\Rightarrow 7x=21$
$\Rightarrow x=3$
X=0
Vì 2 mũ 5 = 32
2 mũ 2 = 4
Suy ra 2 mũ 5 + 2 mũ 2 +200 = 32+4+200=236
* ước của 236 = (1;2;4;59;118;236)
* Mà chỉ có 59+11=70 có chữ số đầu tiên là 7
ĐÚNG THÌ TICK CHO MÌNH NHA
`(7x-11)^3 =5^2 *2^5 +200`
`=>(7x-11)^3 =25*32+200`
`=>(7x-11)^3 =800+200`
`=>(7x-11)^3 =1000`
`=>(7x-11)^3 =10^3`
`=>7x-11=10`
`=>7x=10+11`
`=>7x=21`
`=>x=21:7`
`=>x=3`
a) \(2^x-15=17\)
\(2^x=17+15\)
\(2^x=32\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
b) \(27.3^x=243\)
\(3^x=243:27\)
\(3^x=9\)
\(\Rightarrow3^x=3^2\)
\(\Rightarrow x=2\)
c) \(3^x+25=26.2^2+2.3^0\)
\(3^x+25=104+2\)
\(3^x+25=106\)
\(3^x=106-25\)
\(3^x=81\)
\(\Rightarrow3^x=3^4\)
\(\Rightarrow x=4\)
d) \(\left(7x-11\right)^3=2^5.5^2+200\)
\(\left(7x-11\right)^3=800+200\)
\(\left(7x-11\right)^3=1000\)
\(\Rightarrow\left(7x-11\right)^3=10^3\)
\(\Rightarrow7x-11=10\)
\(7x=10+11\)
\(7x=21\)
\(x=21:7\)
\(x=3\)
e) \(3^x.3=27\)
\(3^x=27:3\)
\(3^x=9\)
\(\Rightarrow3^x=3^2\)
\(\Rightarrow x=2\)
a) \(2^x-15=17\)
\(\Leftrightarrow2^x=17+15\)
\(\Leftrightarrow2^x=32\)
\(\Leftrightarrow2^x=2^5\)
\(\Leftrightarrow x=5\)
Vậy x = 5
b) \(27.3^x=243\)
\(\Leftrightarrow3^x=243:27\)
\(\Leftrightarrow3^x=9\)
\(\Leftrightarrow3^x=3^2\)
\(\Leftrightarrow x=2\)
Vậy x = 2
c) \(\left(7x-11\right)^3=2^5.5^2+200\)
\(\Leftrightarrow\left(7x-11\right)^3=800+200\)
\(\Leftrightarrow\left(7x-11\right)^3=1000\)
\(\Leftrightarrow\left(7x-11\right)^3=10^3\)
\(\Leftrightarrow7x-11=10\)
\(\Leftrightarrow7x=10+11\)
\(\Leftrightarrow7x=21\)
\(\Leftrightarrow x=21:7\)
\(\Leftrightarrow x=3\)
Vậy x = 3
d) \(3^x.3=27\)
\(\Leftrightarrow3^x=27:3\)
\(\Leftrightarrow3^x=9\)
\(\Leftrightarrow3^x=3^2\)
\(\Leftrightarrow x=2\)
Vậy x = 2
_Chúc bạn học tốt_
\(\left(7x-11\right)^3=2^5.5^2+200\)
\(\Leftrightarrow\left(7x-11\right)^3=1000\)
\(\Leftrightarrow\left(7x-11\right)^3=10^3\)
\(\Rightarrow7x-11=10\)
\(\Leftrightarrow7x=10+11\)
\(\Leftrightarrow7x=21\)
\(\Leftrightarrow x=21:7=3\)
Vậy x=3
X=3 NHA
CHÚC BẠN HỌC TỐT