
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.



\(5\cdot x-206=2^4\cdot4\)
\(5\cdot x-206=64\)
\(\Rightarrow5\cdot x=64+206=270\)
\(\Rightarrow x=270:5=54\)
\(\Rightarrow x=54\)

Giải:
a) \(100-7\left(x-5\right)=31+3^3\)
\(\Leftrightarrow100-7\left(x-5\right)=31+27\)
\(\Leftrightarrow100-7\left(x-5\right)=58\)
\(\Leftrightarrow7\left(x-5\right)=42\)
\(\Leftrightarrow x-5=6\)
\(\Leftrightarrow x=11\)
Vậy ...
b) \(12\left(x-1\right):3=4^3+2^3\)
\(\Leftrightarrow4\left(x-1\right)=64+8\)
\(\Leftrightarrow4\left(x-1\right)=72\)
\(\Leftrightarrow x-1=18\)
\(\Leftrightarrow x=19\)
Vậy ...
c) \(24+5x=7^5:7^3\)
\(\Leftrightarrow24+5x=7^2\)
\(\Leftrightarrow24+5x=49\)
\(\Leftrightarrow5x=25\)
\(\Leftrightarrow x=5\)
Vậy ...
d) \(5x-206=2^4.4\)
\(\Leftrightarrow5x-206=2^6\)
\(\Leftrightarrow5x-206=64\)
\(\Leftrightarrow5x=270\)
\(\Leftrightarrow x=54\)
Vậy ...

\(5^x.5^{x+3}=5^4+5^4+5^4+5^4+5^4\\ 5^x\left(1+5^3\right)=5^4\left(1+1+1+1+1\right)\\ 5^x\left(1+125\right)=5^4.5\\ 5^x.126=5^5\\ \dfrac{5^5}{5^x}=126\\ \Rightarrow5-x=126\\ \Rightarrow x=5-126=-121\)
b,
\(24+5x=7^{15}:7^{12}\\ 24+5x=7^3\\ 24+5x=343\\ 5x=343-24\\ 5x=319\\ x=319:5=63,8\)
c,
\(5x-2006=2^4.4\\ 5x-2006=64\\ 5x=64+2006\\ 5x=2017\\ x=2017:5=414\)

câu 1: 12.(x-1):3=43+23
12 . (x - 1 ) :3 = 72
12 . ( x - 1 ) = 72 : 3
12 . ( x - 1 ) = 24
x - 1 = 24 : 12
x - 1 = 2
x = 1
Câu 2: 5x - 206 = 24 .4
5x - 206 = 64
5x = 64 + 206
5x = 270
x = 270 : 5
x = 54

a) 100 - 7.(x-5) = 68
7.(x - 5) = 100 - 68 = 32
x - 5 = \(\frac{32}{7}\)
x = \(\frac{32}{7}+5=\frac{67}{7}\)
b) 2(x-6)+2227:17=151
2( x -6) + 131 = 151
2 (x - 6) = 20
x - 6 = 20 : 2 = 10
x = 10 + 6 = 16

a. x50 = x
\(\Rightarrow\)\(\left[\begin{array}{nghiempt}x=1\\x=-1\end{array}\right.\)
b. 125 = x3
Vì 53 =125 \(\Rightarrow\)x = 5
c.64 = x2
Vì 64 = 82 \(\Rightarrow\) x = 8
d.90 = 10 . 3x
3x= 90 : 10
3x = 9
Vì 32 = 9 \(\Rightarrow\)x = 2

Bài 2:
a: =>20-16-x+6=90
=>10-x=90
=>x=-80
b: =>|x+8|=24-3*(32-25)=24-3*7=3
=>x+8=3 hoặc x+8=-3
=>x=-11 hoặc x=-5
c: \(\Leftrightarrow30+2^x-6=1000:25=40\)
=>2^x=16
=>x=4
c: =>x+2+9 chia hết cho x+2
mà x>=0
nên \(x+2\in\left\{3;9\right\}\)
hay \(x\in\left\{1;7\right\}\)

a) 412 - ( 324 - x ) = 543
324 - x = 412 - 543
324 - x = -131
x = 324 - (-131 )
x = 455
a) 412-(324-x)=543
324-x=412-543
324-x=-131
x=324+131
x=455
b) 3.(x+41)=153
x+41=51
x=51-41=10
c) 276-5(x+2)=56
5(x+2)=220
x+2=44
x=44-2=42
d) 10+2x=415:412
10+2x=43
10+2x=64
2x=64-10=54
x=54:2=27
e) 5x-206=24.4
5x-206=24.22
5x-206=26
5x-206=64
5x=270
x=270:5=54
\(5x-206=2^4.4\)
\(\Leftrightarrow5x-206=2^6\)
\(\Leftrightarrow5x-206=64\)
\(\Leftrightarrow5x=270\Leftrightarrow x=54\)
Bài làm:
Ta có: \(5x-206=2^4.4\)
\(\Leftrightarrow5x=206+64\)
\(\Leftrightarrow5x=270\)
\(\Rightarrow x=54\)