Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) x-12=(-28)
x=(-28)+12
x=(-16)
Vậy x=(-16)
b)20+8|x-3|=52.4
20+8|x-3|=100
8|x-3|=100-20
8|x-3|=80
|x-3|=80:8
|x-3|=10
=>x-3=10 hoặc x-3=(-10)
x=10+3 x=(-10)+3
x=13 x=(-7)
Vậy x thuộc {13;-7}
c) 96-3(x+1)=42
3(x+1)=96-42
3(x+1)54
x+1=54:3
x+1=18
x=18-1
x=17
Vậy x=17
|x-3|=7-(-2)
|x-3|=9
=>x-3=9 hoặc x-3=(-9)
x=9+3 x=(-9)+3
x=12 x=(-6)
Vậy...
e) (2x-1)3=125
(2x-1)3=53
=>2x-1=5
...
Còn lại tự lm nha
Câu g tương tự câu e
45 - (x + 9) = 6
x + 9 = 45 - 6
x + 9 = 39
x = 39 - 9
x = 30
b) (x + 5) : 3 - 121 : 11 = 4
(x + 5) : 3 - 11 = 4
(x + 5) : 3 = 4 + 11
(x + 5) : 3 = 15
(x + 5) = 15 . 3
(x + 5) = 45
x = 45 - 5
x = 40
c) 5x + 5x + 2 = 650
5x + 5x . 25 = 650
5x .(1 + 25) = 650
5x . 26 = 650
5x = 650 : 26
5x = 25
5x = 52
=> x = 2
d) (2x + 1)3 = 9.81
(2x + 1)3 = 729
(2x + 1)3 = 93
=> 2x + 1 = 9
=> 2x = 9 - 1
=> 2x = 8
=> x = 4
Bài 1 :
\(2^x.8=512\)
\(2^x=512:8\)
\(2^x=64\)
\(2^x=2^6\)
\(\Rightarrow x=6\)
\(b,\left(2x+1\right)^3=125\)
\(\left(2x+1\right)^3=5^3\)
\(\Rightarrow2x+1=5\)
\(\Rightarrow2x=4\)
\(\Rightarrow x=2\)
\(c,x^{20}=x\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}\)
\(d,\left(x-3\right)^{10}=0\)
\(\Rightarrow x-3=0\)
\(\Rightarrow x=3\)
a) \(5^x=5^3\)
b)\(3^{2x}=3^{2.2}\)
c)\(5^{2x-3}=5^{2.3-3}\)
THỈNH THOẢNG CŨNG CO 1 MỐNG CHỨ NHỈ...
~ HỌC TỐT ~
B1:
Ta có: \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\frac{2^{12}.3^{10}-2^9.3^9.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}-2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}=\frac{2^{12}.3^{10}.\left(1-5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}\)
\(=\frac{2.\left(-4\right)}{3.5}=-\frac{8}{15}\)
B2:
Ta có: \(1+3+5+...+x=1600\)
\(\Leftrightarrow\frac{\left(x+1\right)\cdot\left(\frac{x-1}{2}+1\right)}{2}=1600\)
\(\Leftrightarrow\left(x+1\right)\cdot\frac{x+1}{2}=3200\)
\(\Leftrightarrow\left(x+1\right)^2=6400\)
Xét theo dãy tăng tiến ta thấy được giá trị của x càng tăng
=> x dương => x + 1 dương
\(\Rightarrow x+1=80\)
\(\Rightarrow x=79\)
a) 8x = 642
=> 8x = 84
=> x = 4
b) 3x + 1 = 27
=> 3x + 1 = 33
=> x + 1 = 3
=> x = 3 - 1 = 2
c) 42x = 10244
=> 42x = 420
=> 2x = 20
=> x = 20 : 2
=> x = 10
Bài 1:
a) \(x^{10}=1^x\Rightarrow\orbr{\begin{cases}x=1\\x=10\end{cases}}\)
b) \(x^{10}=x\Rightarrow x=1\)
c) \(\left(2x-15\right)^5=\left(2x-15\right)^3\)
\(\left(2x-15\right)^5.\left(2x-15\right)^3=\left(2x-15\right)^3\)
\(\left(2x-15\right)^2=1\Rightarrow x=8\)
Bài 2:
\(a;2^{16}=2^{13}\cdot2^3=2^{13}\cdot8>7\cdot2^{13}\)
\(b;49^8\cdot27^5=7^{16}\cdot3^{15}=21^{15}\cdot7>21^5\)
C;Ta có:\(199^{20}< 200^{20}=2^{20}\cdot10^{40}=2^{15}\cdot10^{40}\cdot2^5\)
\(2003^{15}>2000^{15}=2^{15}\cdot10^{45}=2^{15}\cdot10^{40}\cdot10^5\)
Vì 25<105 nên 19920<200315
\(d;3^{39}< 3^{40}=9^{20}< 11^{20}< 11^{21}\)
a.3 d.12
b.1 e.5
c.6 g. 2
\(a,x^3=27\)
\(\Rightarrow x^3=3^3\)
\(\Rightarrow x=3\)
\(b,\left(2x-1\right)^3=8\)
\(\Rightarrow\left(2x-1\right)^3=2^3\)
\(\Rightarrow2x-1=2\)
\(\Rightarrow2x=3\)
\(\Rightarrow x=\frac{3}{2}\)
\(c,\left(x-2\right)^2=16\)
\(\Rightarrow\left(x-2\right)^2=4^2\)
\(\Rightarrow x-2=4\)
\(\Rightarrow x=6\)
\(d,\left(x-5\right)^2=49\)
\(\Rightarrow\left(x-5\right)^2=7^2\)
\(\Rightarrow x-5=7\)
\(\Rightarrow x=12\)
\(e,\left(2x-1\right)^2=81\)
\(\Rightarrow\left(2x-1\right)^2=9^2\)
\(\Rightarrow2x-1=9\)
\(\Rightarrow2x=10\)
\(\Rightarrow x=5\)
\(g,\left(4x-3\right)^3=125\)
\(\Rightarrow\left(4x-3\right)^3=5^3\)
\(\Rightarrow4x-3=5\)
\(\Rightarrow4x=8\)
\(\Rightarrow x=2\)