tìm x: a) \(3^{x+1}+3^{x+3}=270\)
b) \(5^x+4.5^{x+1}=2625\)
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a/|x|-2,5=27,5
=>|x|=27,5+2,5=30
=>x=30 hoặc x=-30
b/\(\dfrac{3}{4}+\dfrac{2}{5}.x=\dfrac{29}{60}\)
=>\(\dfrac{2}{5}.x\)=\(\dfrac{29}{60}-\dfrac{3}{4}\)=\(\dfrac{-4}{15}\)
=>x=\(\dfrac{-4}{15}:\dfrac{2}{5}\)=\(\dfrac{-2}{3}\)
c/(x-1)\(^5\)=-32
=>x-1=-2 vì (-2)\(^5\)=-32
=>x=-2+1=-1
d/\(\dfrac{4}{5}.x+0,5=4.5\)
=>\(\dfrac{4}{5}.x+0,5=20\)
=>\(\dfrac{4}{5}.x=20-0,5=19,5\)
=>\(x=19,5:\dfrac{4}{5}\)=\(\dfrac{195}{8}\)
a, 7\(x\) - \(x\) = 521 : 519 + 3.22.7
6\(x\) = 53 + 3.4.7
6\(x\) = 125 + 12.7
6\(x\) = 125 + 84
6\(x\) = 209
\(x\) = 209 : 6
\(x\) = \(\dfrac{209}{6}\)
b; 11\(x\) - 7\(x\) + 34 : 33 = 54 + 2\(x\)
4\(x\) + 3 = 625 + 2\(x\)
4\(x\) - 2\(x\) = 625 - 3
2\(x\) = 622
\(x\) = 622 : 2
\(x\) = 311
c; 75 - 5.(\(x-3\))3 = 700
5.(\(x\) - 3)3 = 700 - 75
5.(\(x\) - 3)3 = - 625
(\(x\) - 30)3 = - 625 : 5
(\(x\) - 30)3 = - 125
(\(x-3\))3 = (-5)3
\(x\) - 3 = - 5
\(x\) = - 5 + 3
\(x\) = -2
d, 3.(2\(x\) - 1)2 = 75
(2\(x\) - 1)2 = 75 : 3
(2\(x\) - 1)2 = 25
\(\left[{}\begin{matrix}2x-1=-5\\2x-1=5\end{matrix}\right.\)
\(\left[{}\begin{matrix}2x=-5+1\\2x=5+1\end{matrix}\right.\)
\(\left[{}\begin{matrix}2x=-4\\2x=6\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-2\\x=3\end{matrix}\right.\)
a) (3x - 72) . 59 = 4.510
=> 3x - 49 = 4.5
=> 3x - 49 = 20
=> 3x = 69
=> x = 23
Vậy x = 23
b) 210 < 7x < 280
=> 30 < x < 40
mà x \(\inℕ\)
=> \(x\in\left\{31;32;33;34;35;36;37;38;39\right\}\)
c) x + 2 \(⋮\)x - 1
=> x - 1 + 3 \(⋮\)x - 1
Nhận thấy x - 1 \(⋮\)x - 1
=> 3 \(⋮\)x - 1
=> x - 1 \(\inƯ\left(3\right)=\left\{1;-1;3;-3\right\}\)
=> \(x\in\left\{1;0;4;-2\right\}\)
mà x \(\inℕ\Rightarrow x\in\left\{1;0;4\right\}\)
d) 2x + 7 \(⋮\)x + 1
=> 2(x + 1) + 5 \(⋮\)x + 1
Nhận thấy 2(x + 1) \(⋮\)x + 1
=> 5 \(⋮\)x + 1
=> x + 1 \(\inƯ\left(5\right)=\left\{1;-1;5;-5\right\}\)
=> \(x\in\left\{0;4\right\}\)(vì x là số tự nhiên)
b) 210 < 7x < 280
\(\Rightarrow\)7x\(\in\){ 211; 212; 213; .................; 279 }
Vì cứ cách 7 đơn vị thì có 1 số chia hết cho 7
\(\Rightarrow\)7x = 217; 224; 231; 238; 245; 252; 259; 266; 273
( Còn đâu x bạn tự tính nhé )
Tìm x
a) x - 1,27 = 13,5 : 4,5
x - 1,27 = 3
x = 1,27 + 3
x = 4,27
b) 8/3 - x = 2/5
x = 8/3 - 2/5
x = 34/15
\(257-\left(3x+25\right)=157\)
\(3x+25=257-157\)
\(3x+25=100\)
\(3x=75\)
\(x=25\)
vay \(x=25\)
\(x-140:35=270\)
\(x-4=270\)
\(x=274\)
vay \(x=274\)
\(23-\left(x:13\right)=18\)
\(\frac{x}{13}=5\)
\(\frac{x}{13}=\frac{65}{13}\)
\(\Rightarrow x=65\)
vay \(x=65\)
\(9\left(x+5\right)-13=671\)
\(9x+45=684\)
\(9x=639\)
\(x=71\)
vay \(x=71\)
\(9\left(4x\right)-13=24\)
\(36x=37\)
\(x=\frac{37}{36}\)
vay \(x=\frac{37}{36}\)
\(\left(x-5\right)-34:17=1\)
\(\left(x-5\right)-2=1\)
\(x-5=3\)
\(x=8\)
vay \(x=8\)
\(\left(2x-7\right).3=3\)
\(2x-7=1\)
\(2x=8\)
\(x=4\)
vay \(x=4\)
\(\left(3x-5\right):2=4.5\)
\(\left(3x-5\right):2=20\)
\(3x-5=10\)
\(3x=15\)
\(x=5\)
vay \(x=5\)
con lai lam tuong tu
mk moi tay roi nen ban tu lam vay
a: Sửa đề: sin x=4/5
cosx=-3/5; tan x=-4/3; cot x=-3/4
b: 270 độ<x<360 độ
=>cosx>0
=>cosx=1/2
tan x=căn 3; cot x=1/căn 3
a) 3x + 1 + 3x + 3 = 270
=> 3x .3 + 3x . 27 = 270
=> 3x .(3 + 27) = 270
=> 3x .30 = 270
=> 3x = 270 : 30
=> 3x = 9
=> 3x = 32
=> x = 2
b) 5x + 4.5x + 1 = 2625
=> 5x + 4.5x.5 =2625
=> 5x.(1 +20) = 2625
=> 5x .21 = 2625
=> 5x = 2625 : 21
=> 5x = 125
=> 5x = 53
=> x = 3