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a) 30 ( 22.15 +x ) =30
22 . 15 + x = 30 :30
22.15 +x = 1
4 . 15 +x =1
60 +x = 1
x = 1 - 60
x = -59
b) 24 . 38 -24 . x = 16
16 . 38 - 16.x = 16
608 - 16 .x = 16
16.x = 608 -16
16.x =592
x = 592 :16
x =37
c)(7x -11)3=25 .52 +200
( 7x - 11)3=1000
(7x-11)3 = 1000
( 7x - 11)3=103
7x-11=10
7x = 10+11
7x = 21
x = 21:7
x=3
d) 3x-43 = 17
3x - 64 =17
3x=17+64
3x=81 = 34
=> x = 4
**** cho mình nhá!!!
a) \(x\cdot x^2\cdot x^3\cdot x^4=1024\)
\(x^{1+2+3+4}=1024\)
\(x^{10}=1024\)
\(x^{10}=2^{10}\)
\(\Rightarrow x=2\)
b) \(\left(x+5\right)\cdot2^3-2^2\cdot5=2^2\cdot3\cdot5\)
\(2^2\cdot\left[2\left(x+5\right)-5\right]=2^2\cdot15\)
\(2^2\cdot\left[2x+10-5\right]=2^2\cdot15\)
\(2^2\cdot\left[2x+5\right]=2^2\cdot15\)
\(\Rightarrow2x+5=15\)
\(\Rightarrow2x=15+5=20\)
\(\Rightarrow x=\frac{20}{2}=10\)
a)\(x.x^2.x^3.x^4=1024\Rightarrow x^{1+2+3+4}=2^{10}\Rightarrow x^{10}=2^{10}\Rightarrow x=2\)
b)\(\left(x+5\right).2^3-2^2.5=2^2.3.5\Rightarrow\left(x+5\right).2^3=2^2.3.5+2^2.5\)
\(\Rightarrow\left(x+5\right).2^3=2^2.5.\left(3+1\right)=2^2.5.2^2=2^4.5\)
\(\Rightarrow x+5=\frac{2^4.5}{2^3}=10\Rightarrow x=5\)
(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 = 10 + 11
7x = 21
x = 21 : 7
x = 3
dễ mà bạn,mình học rồi
\(\left(7x-11\right)^3=2^5.5^2+200\)
\(\left(7x-11\right)^3=32.25+200\)
\(\left(7x-11\right)^3=800+200\)
\(\left(7x-11\right)^3=1000\)
phân tích 1000 thành lũy thừa có số mũ là 3
\(\left(7x-11\right)^3=10^3\)
ta thấy hai kết quả chung số mũ nên ta bỏ mũ 3 rồi thực hiện tìm x
\(7x-11=10\)
\(7x=10+11\)
\(7x=21\)
\(x=21:7\)
\(\Rightarrow x=3\)
a , (x+1)+(x+2)+....+(x+100)=5750
x . 100 + ( 1+2+..+100 ) = 5750
x . 100 + 5050 = 5750
x . 100 = 700
x = 700 ; 100
x = 7
Bài 1:
a, 5x . 5x+1 . 5x+2 = 1018 : 218
5x+x+1+x+2 = (10 : 2)18
53x+3 = 518
3x + 3 = 18
3x = 18 - 3
3x = 15
x = 15 : 3
x = 5
Vậy x = 5
b, x . (x2)3 = x5
x . x6 = x5
x7 = x5
x = 1 hoặc x = 0
Vậy x ∈ { 1; 0 }
Bài 2
A = 3 + 32 + 33 + ... + 3100
3A = 32 + 33 + ... + 3100
3A - A = 3100 - 3
2A = 3100 - 3
2A + 3 = 3100 - 3 + 3
2A + 3 = 3100
⇒ n = 100
Vậy n = 100
Học tốt❤
\(2^x.4=128\)
\(\Rightarrow2^x=32\left(\text{cùng chia cho 4}\right)\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
\(a,\)Đặt \(A=1+2+2^2+...+2^{99}+2^{100}\)
\(\Rightarrow2A=2+2^2+...+2^{100}+2^{101}\)
\(\Rightarrow2A-A=\left(2+2^2+2^3+...+2^{101}\right)-\left(1+2+2^2+...2^{100}\right)\)
\(\Rightarrow A=2^{101}-1\)
\(b,\)Đặt \(B=5+5^3+5^5+...+5^{97}+5^{99}\)
\(\Rightarrow5^2B=5^3+5^5+...+5^{99}+5^{101}\)
\(\Rightarrow25B-B=\left(5^3+5^5+...+5^{99}+5^{101}\right)-\left(5+5^3+...+5^{99}\right)\)
\(\Rightarrow24B=5^{101}-5\)
\(\Rightarrow B=\frac{5^{101}-5}{24}\)
a) \(\left(x-5\right)^2-18=46\)
\(\left(x-5\right)^2=46+18\)
\(\left(x-5\right)^2=64\)
\(\Rightarrow\left(x-5\right)^2=8^2\)hoặc \(\left(x-5\right)^2=\left(-8\right)^2\)
\(x-5=8\) \(x-5=-8\)
\(x=8+5=13\) \(x=-8+5=-3\)
Vậy \(x=13\)hoặc \(x=-3\)
a)\(\left(x-5\right)^2-18=46\Rightarrow\left(x-5\right)^2=64\)
\(\Rightarrow\orbr{\begin{cases}x-5=8\\x-5=-8\end{cases}\Rightarrow\orbr{\begin{cases}x=13\\x=-3\end{cases}}}\)
b)\(2^{15}\left(x+3\right)=2^{18}-2^{17}\Rightarrow2^{15}\left(x+3\right)=2^{17}\left(2-1\right)=2^{17}\)
\(\Rightarrow x+3=2^{17}:2^{15}=2^{17-15}=2^2\Rightarrow x=1\)