Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(a,5.\left(x+35\right)=515\)
\(x+35=103\)
\(x=103-35\)
\(x=68\)
\(b,12.x-33=3^2.3^3\)
\(12x-33=243\)
\(12x=276\)
\(x=23\)
\(d,12.\left(x-1\right):3=4^3-2^3\)
\(12.\left(x-1\right):3=56\)
\(12.\left(x-1\right)=168\)
\(x-1=14\)
\(x=15\)
\(1,2x+3x-4x=\left(-2\right)^3\)
<=>\(x=-8\)
\(2,x-2x=4^2+4^0\)
<=>\(-x=16+1\)
<=>\(-x=17\)
<=>\(x=-17\)
\(3,2^3x-3^2x=|12-21|\)
<=>\(-x=9\)
<=>\(x=-9\)
\(4,x-45=2x+54\)
<=>\(x-2x=54+45\)
<=>\(-x=99\)
<=>\(x=-99\)
\(5,5x-12+23=6^7:6^5\)
<=>\(5x+11=6^2\)
<=>\(5x+11=36\)
<=>\(5x=25\)
<=>\(x=5\)
b) \(3.2^{x+1}=12\)
\(2^{x+1}=12:3\)
\(2^{x+1}=4\)
\(2^{x+1}=2^2\)
\(x+1=2\)
\(x=2-1\)
\(x=1\)
Vậy \(x=1\)
c) \(2^{x-1}=2^3+2^4-2^3\)
\(2^{x-1}=8+16-8\)
\(2^{x-1}=16\)
\(2^{x-1}=2^4\)
\(x-1=4\)
\(x=5\)
Vậy \(x=5\)
d) \(x^{50}=x\)
\(x^{50}-x=0\)
\(\Rightarrow x\in\left\{0;1\right\}\)
Vậy \(x\in\left\{0;1\right\}\)
\(b.3.2^{x+1}=12\\ \Rightarrow2^{x+1}=4\\ \Rightarrow2^{x+1}=2^2\\ \Rightarrow x=1\\ \)
c) \(2^{x-1}=2^3-2^3+2^4\\ \Rightarrow2^{x-1}=0+16\\ \Rightarrow2^{x-1}=16\\ \Rightarrow2^{x-1}=2^4\\ \Rightarrow x-1=4\\ \Rightarrow x=5\)
d) \(x^{50}=x\\ \Rightarrow x=0;1\)
e) \(2\left(2x-1\right)^4=32\\ \Rightarrow\left(2x-1\right)^4=16\\ \Rightarrow\left(2x-1\right)^4=2^4\\ \Rightarrow2x-1=2\\ \Rightarrow2x=3\\ \Rightarrow x=\frac{3}{2}\)
g) Bí
3\(^x\) . 3 = 43
=> 3\(^{\left(x+1\right)}\) = 43
=> Không có giá trị x thoả mãn .
49 . \(7^x\) = 2041
7\(^2\) . 7\(^x\) = 2041
7\(^{\left(x+2\right)}\) = 2041
=> \(7^{\left(x+2\right)}\) = 7\(^4\)
=> x + 2 = 4
=> x = 2
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 ...
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) = 53+4+1 = 58
b) = 65-4 = 6
c) = 32+3+4-7 = 32
d) = x4+2+1 = x7
e) = 812+10+3 = 825
1. \(5^3.5^4.5=5^{3+4+1}=5^8\)
2. \(6^5:\left(6^3.6\right)=6^5:\left(6^{3+1}\right)=6^5:6^4=6^{5-4}=6^1\)
3. \(\left(3^2.3^3.3^4\right):3^7=\left(3^{2+3+4}\right):3^7=3^9:3^7=3^{9-7}=3^2\)
4. \(x^4.x^2.x=x^{4+2+1}=x^7\)
5. \(\left(8^{12}.8^{10}\right).8^3=8^{12+10+3}=8^{25}\)
a) Ta có: \(\left[\frac{\left(8x-12\right)}{4}\right]\cdot3^3=3^6\)
\(\Leftrightarrow\frac{8x-12}{4}=3^3\)
\(\Leftrightarrow2x-3=3^3\)
\(\Leftrightarrow2x-3=27\)
\(\Leftrightarrow2x=30\)
hay x=15
Vậy: x=15
b) Ta có: \(3^{2+1}+3^x=36\)
\(\Leftrightarrow3^3+3^x=36\)
\(\Leftrightarrow3^x=9\)
hay x=2
Vậy: x=2
c) Ta có: \(2^{x+1}=16\)
\(\Leftrightarrow2^{x+1}=2^4\)
\(\Leftrightarrow x+1=4\)
hay x=3
Vậy: x=3
1.a)
[(8x - 12) : 4] . 33 = 36
(8x - 12) : 4 = 36 : 33 = 33 = 27
8x - 12 = 27 . 4 = 108
8x = 108 + 12 = 120
x = 120 : 8 = 15
b)
32+1 + 3x = 36
27 + 3x = 36
3x = 36 - 27 = 9 = 32
=> x = 2
1) 2x . 4 = 128
2x = 128 : 4
2x = 32
2x = 25
=> x = 5
2) (2x + 1)3 = 125
(2x + 1)3 = 53
=> 2x + 1 = 5
2x = 5 - 1
2x = 4
x = 2
các bài khác bạn tự làm nha
Ta có: \(12\cdot\left|x-1\right|:3=4^3+2^3\)
\(\Leftrightarrow\dfrac{12\left|x-1\right|}{3}=64+8=72\)
\(\Leftrightarrow4\left|x-1\right|=72\)
\(\Leftrightarrow\left|x-1\right|=18\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=18\\x-1=-18\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=19\\x=-17\end{matrix}\right.\)
Vậy: \(x\in\left\{19;-17\right\}\)
\(12|x-1|:3=4^3+2^3\)
\(12|x-1|:3=64+8\)
\(12|x-1|:3=72\)
\(12|x-1|=72.3\)
\(12|x-1|=216\)
\(|x-1|=216:12\)
\(|x-1|=18\)
\(\Rightarrow x-1 \in \{18;-18\}\)
\(\Rightarrow x \in \{19;-17\}\)
-Vậy \( x \in \{19;-17\}\)