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\(16^2=256\)
=> Vậy số mũ cần tìm là số 2 .
\(15^{\varnothing}=\varnothing\)
=> Vậy số mũ cần tìm không thỏa mãn với tổng được cho !
\(2^{x+1}=128\)
\(x=128:2\)
\(x=64\)
\(\Rightarrow x+1=64\)
\(x=64-1\)
\(x=63\)
2 phần cuối tương tự như phần trên nhé !
3x-1 = 81 8x+2 = 512 3x = 33 . 35
3x-1 = 34 8x+2 = 83 3x = 38
=> x - 1 = 4 => x + 2 = 3 => x = 8
x = 5 x = 1
2x . 3x = 4 . 9 2.x - 138 = 23 . 32
(2.3)x = 22 . 32 2.x - 138 = 8 . 9
6x = (2.3)2 2.x - 138 = 72
6x = 62 2.x = 210
=> x = 2 => x = 105
4x < 120 3x > 81 15 < 2x < 70
=> 4x nhỏ hơn băng 64 => 3x > 34 => 23 < 2x < 26
=> 4x nhỏ hơn bằng 43 => x > 4 => 3 < x < 6
=> x \(\in\) {0;1;2;3} => x \(\in\) {4;5;6;7; ... } => x \(\in\) {4;5}
(3x-2)3:4=16
(3x-2)3 =16.4
(3x-2)3 =64
(3x-2)3 =43
3x-2 =4
3x =4+2
3x =6
x =6:3
x =2
512+3(23+22.x)=572
512+3(8+4.x)=572
3(8+4.x)=572-512
3(8+4.x)=60
8+4.x =60:3
8+4.x=20
4.x=20-8
4.x=12
x=12:4
x=3
tich dung cho minh nhe
(3x-2)^3:4=16
(3x-2)^3=16.4=64=4^3
=>3x-2=4
vậy x=2
512+3(2^3+2^2.x)=572
2^3+2^2.x=(572-512):3=20
8+4.x=20
4.x=20-8=12
x=12:4=3
vậy x=3
a, => 2^(x+x+1)=512
=> 2^2x+1 = 512 = 2^9
=> 2x+1=9
=>x=4
k mk nha
23 * xm+2 = 512
8 * xm+2 = 512
xm+2 = 512 : 8
xm+2 = 64
xm+2= 82
=> m+2 = 2
m = 2 -2
m = 0
vậy m =0
b, 2x = 42x45 /8
2x = 16x45 /8
2x = 2x45
2x = 2x(22)5
2x = 2x210
2x = 211
=> x = 11
1)\(79-5\left(11-x\right)=34\)
\(\Rightarrow79-55+5x=34\)
\(\Rightarrow24+5x=34\)
\(\Rightarrow5x=-10\)
\(\Rightarrow x=-2\)
Vậy \(x=-2\)
2)\(32+2\left(7-x\right)=40\)
\(\Rightarrow32+14-2x=40\)
\(\Rightarrow46-2x=40\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)
Vậy \(x=3\)
3)\(\left(166-2x\right).8^9=2.8^{11}\)
\(\Rightarrow\left(83-x\right).2.8^9=2.8^{11}\)
\(\Rightarrow83-x=8^3\)
\(\Rightarrow83-x=512\)
\(\Rightarrow x=-429\)
Vậy \(x=-429\)
4)\(5^2.x-2^3.x=51\)
\(\Rightarrow x\left(5^2-2^3\right)=51\)
\(\Rightarrow x\left(25-8\right)=51\)
\(\Rightarrow17x=51\)
\(\Rightarrow x=3\)
Vậy \(x=3\)
5)\(3^x+4.3^x=5.3^7\)
\(\Rightarrow3^x\left(1+4\right)=5.3^7\)
\(\Rightarrow5.3^x=5.3^7\)
\(\Rightarrow3^x=3^7\)
\(\Rightarrow x=7\)
Vậy \(x=7\)
6)\(7.2^x-2^x=6.32\)
\(\Rightarrow2^x\left(7-1\right)=6.2^5\)
\(\Rightarrow6.2^x=6.2^5\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
Vậy \(x=5\)
7)\(15^{3-x}=225\)
\(\Rightarrow15^{3-x}=15^2\)
\(\Rightarrow3-x=2\)
\(\Rightarrow x=1\)
Vậy \(x=1\)
8)\(4.5^x-3=97\)
\(\Rightarrow4.5^x=100\)
\(\Rightarrow5^x=25\)
\(\Rightarrow5^x=5^2\)
\(\Rightarrow x=2\)
Vậy \(x=2\)
9)\(171-3.2^x=123\)
\(\Rightarrow3.2^x=48\)
\(\Rightarrow2^x=16\)
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
Vậy \(x=4\)
10)\(180-4.x^5=32\)
\(\Rightarrow4.x^5=148\)
\(\Rightarrow x^5=37\)//Đề có lỗi không ???
\(a,\left(1+3x\right)^4=256\)
\(\left(1+3x\right)^4=4^4\)
\(\Rightarrow\orbr{\begin{cases}1+3x=4\\1+3x=-4\end{cases}}\Rightarrow\orbr{\begin{cases}3x=3\\3x=-5\end{cases}}\Rightarrow\orbr{\begin{cases}x=1\\x=\frac{-5}{3}\end{cases}}\)
\(b,720:\left(x-140\right)=3^3-2^3.4\)
\(720:\left(x-140\right)=-5\)
\(x-140=720:\left(-5\right)\)
\(x-140=-144\)
\(x=-4\)
\(c,16^x.4^3=512\)
\(\left(2^4\right)^x=8\)
\(2^{4x}=2^3\)
\(\Rightarrow4x=3\)
\(\Rightarrow x=\frac{3}{4}\)
\(d,\left(2x-1\right)^4=81\)
\(\left(2x-1\right)^4=3^4\)
\(\Rightarrow\orbr{\begin{cases}2x-1=3\\2x-1=-3\end{cases}}\Rightarrow\orbr{\begin{cases}2x=4\\2x=-2\end{cases}}\Rightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}\)
Bài làm :
\(1\text{)}...\Leftrightarrow\orbr{\begin{cases}\left(1+3x\right)^4=4^4\Leftrightarrow1+3x=4\Leftrightarrow3x=3\Leftrightarrow x=1\\\left(1+3x\right)^4=\left(-4\right)^4\Leftrightarrow1+3x=-4\Leftrightarrow3x=-5\Leftrightarrow x=-\frac{5}{3}\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=1\\x=-\frac{5}{3}\end{cases}}\)
\(2\text{)}...\Leftrightarrow720\div\left(x-140\right)=-5\Leftrightarrow x-140=-144\Leftrightarrow x=-4\)
\(3\text{)}...\Leftrightarrow\left(2^4\right)^x.\left(2^2\right)^3=2^9\Leftrightarrow2^{4x}.2^6=2^9\Leftrightarrow2^{4x}=2^3\Leftrightarrow4x=3\Leftrightarrow x=\frac{3}{4}\)
\(4\text{)}...\Leftrightarrow\orbr{\begin{cases}\left(2x-1\right)^4=3^4\Leftrightarrow2x-1=3\Leftrightarrow2x=4\Leftrightarrow x=2\\\left(2x-1\right)^4=\left(-3\right)^4\Leftrightarrow2x-1=-3\Leftrightarrow2x=-2\Leftrightarrow x=-1\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}\)
x = 2
x= 6
nha bạn
a) Ta có:2 x+3 = 32 b) 2x . 8 = 512
Mà 32 = 25 2x = 512: 8
Suy ra 5 - 3 = 2 2x = 64
Vậy x = 2 Mà 64 = 26. Vậy x = 6