tìm \(x\)biết:
\(4.3^{x+1}+2.3^{x-2}=4.3^6+2.3^9\)
4.3x-2+2.3x+1=4.34+2.37
b,4.3x-12.3x+2=4.36+2.39
tại vì nó ko có đề mà có đề gì mà dễ như ăn cháo dzậy
1, 4.3x-2 + 2.3x+1=4.34+2.37
2, 4.3x-1+2.3x+2=4.36+2.39
1:
\(\Leftrightarrow4\cdot3^x\cdot\dfrac{1}{9}+2\cdot3^x\cdot3=4\cdot3^4+2\cdot3^7\)
\(\Leftrightarrow3^x\cdot\left(\dfrac{4}{9}+6\right)=3^4\cdot\left(4+2\cdot3^3\right)\)
\(\Leftrightarrow3^x=729\)
hay x=6
2: \(\Leftrightarrow3^x\cdot4\cdot\dfrac{1}{3}+3^x\cdot2\cdot9=4\cdot3^6+2\cdot3^9\)
\(\Leftrightarrow3^x\cdot\dfrac{58}{3}=42282\)
=>3x=2187
hay x=7
\(4.3^{x-1}+2.3^{x+2}=4.3^4+2.3^9\)
1, 2. 3x+2+4.3x+1=10 . 36
2, 4.3x-2+2.3x+1=4.36+2 .30
A)2.3x+2+4.3x+1=10.36
B)6.8x-1+8x+1=6.819+821
C)4.3x-2+2.3x+1=4.34+2.37
(lưu ý dấu (.) là nhân)
Giúp mình với!!!
A) \(2.3^{x+2}+4.3^{x+1}=10.3^6\)
=> \(2.3.3^{x+1}+4.3^{x+1}=10.3^6\)
=> \(6.3^{x+1}+4.3^{x+1}=10.3^6\)
=> \(\left(6+4\right).3^{x+1}=10.3^6\)
=> \(10.3^{x+1}=10.3^6\)
=> \(3^{x+1}=3^6\)
=> \(x+1=6\)
=> \(x=6-1\)
=> \(x=5\)
Vậy \(x=5.\)
B) \(6.8^{x-1}+8^{x+1}=6.8^{19}+8^{21}\)
=> \(6.8^{x-1}+8^{x-1}.8^2=6.8^{19}+8^{19}.8^2\)
=> \(8^{x-1}.\left(6+8^2\right)=8^{19}.\left(6+8^2\right)\)
=> \(8^{x-1}=8^{19}\)
=> \(x-1=19\)
=> \(x=19+1\)
=> \(x=20\)
Vậy \(x=20.\)
Còn câu c) thì mình đang nghĩ nhé.
Chúc bạn học tốt!
Tìm x
a.(2x - 3)^2 =16
b.2.3^ x +2 + 4.3^ x+1 = 10.3^6
a) (2x - 3)2 = 16
=> (2x - 3)2 = 42
=> \(\orbr{\begin{cases}2x-3=4\\2x-3=-4\end{cases}}\)
=> \(\orbr{\begin{cases}2x=7\\2x=-1\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{7}{2}\\x=-\frac{1}{2}\end{cases}}\)
Vậy ...
b) 2.3x + 2 + 4. 3x + 1 = 10.36
=> 2.3x + 1. 3 + 4.3x + 1 = 10 . 36
=> 6.3x + 1 + 4.3x + 1 = 10.36
=> (6 + 4).3x + 1= 10.36
=> 10.3x + 1= 10.36
=> 3x + 1= 36
=> x + 1 = 6
=> x = 6 - 1
=> x = 5
\(a,\left(2x-3\right)^2=16\)
\(\Rightarrow\left(2x-3\right)^2=4^2\)
\(\Rightarrow2x-3=4\)
\(2x=4+3\)
\(2x=7\)
\(x=7:2\)
\(x=\frac{7}{2}\)
Tìm x
a.(2x - 3)2 =16
=> 2x - 3 = \(\pm4\)
2x-3 = 4 2x - 3 = -4
=> x = \(\frac{3}{2}\) => x = \(-\frac{1}{2}\)
Tìm x biết :
\(a,2^x=\frac{8^4}{16^3}\)
\(b,\left(-2\right)^x=-4^6-8^5\)
\(c,4^x=4.4^{10}-3.4^{10}\)
\(d,4.3^{x-1}+2.3^{x+2}=4.3^6+2.3^9\)
\(e,\left(\frac{1}{3}+\frac{1}{6}\right).2^x+2^{x+1}=2^{12}+2^{10}\)
Ai nhanh mk sẽ tik nha , cám ơn m.n nhiều lắm
a, => 2^x = (2^3)^4/(2^4)^3 = 2^12/2^12 = 1 = 2^0
=> x = 0
c, => 4^x = 4^10.(4-3) = 4^10
=> x=10
d, => 2^2.3^x-1 + 2.3^x.9 = 2^2.3^6+2.3^9
=> 2.3^x-1 . (2+3.9) = 2.3^6.(2+3^3)
=> 2.3^x-1 . 27 = 2.3^6 . 27
=> 3^x-1 = 3^6
=> x-1 = 6
=> x = 7
e, => 2^x.(1/3+1/6+2) = 2^11.(2+1/2)
=> 2^x. 5/2 = 2^11. 5/2
=> 2^x = 2^11
=> x = 11
Tk mk nha
câu b) chưa có ai làm thì mình làm nốt vậy
\(\left(-2\right)^2=-4^6-8^5\)
\(\left(-2\right)^x=-4096-32768\)
\(\left(-2\right)^x=-36864\)
\(\Rightarrow x\) sẽ 1 số thập phân nào đó
tìm x
4.3^x-1+2.3^x+2=4.3^+6.3^8
4.3^x-1+2.3^x+2=4.3^6+6.3^8
4.3^x-1+2.3^x-1.3=2.3^6+2.3^9
2.3^x-1.(2+27)=2.3^6.(2+27)
2.29.3^x-1=2.29.3^6
3^x-1=3^6
x-1=6
x=6+1
x=7
Tìm số nguyên x, nếu biết:
1)\(4.3^{x-1}+2.3^{x+2}=4.3^6+2.3^9\)
2)\(\frac{5}{3}.8^{x+2}-\frac{3}{5}.8^x=\frac{5}{3}.8^{11}-\frac{3}{5}.8^9\)
3)\(\left(\frac{1}{3}+\frac{1}{6}\right).2^{x+4}-2^x=2^{13}-2^{10}\)
Mấy bn giúp mk nha!!! lm câu nào cg đc hết á, cảm ơn nha!!!!!
:D
a) \(\Leftrightarrow2.\left(\frac{2.3^x}{3}+3^x.3^2\right)=2.3^6\left(2+3^3\right)\)
\(\Leftrightarrow2.\left(\frac{2.3^x+3.3^x.3^2}{3}\right)=2.3^6.29\)
\(\Leftrightarrow2.\left[\frac{3^x.\left(2+3.3^2\right)}{3}\right]=2.3^6.19\)
\(\Leftrightarrow2.3^{x-1}.29=2.3^6.29\Leftrightarrow3^{x-1}.29=\frac{2.3^6.29}{2}=3^6.29\Leftrightarrow3^{x-1}=\frac{3^6.29}{29}=3^6\)
\(\Leftrightarrow3^{x-1}=3^6\Leftrightarrow x-1=6\Leftrightarrow x=6+1=7\)
vậy x=7 . Chọn mình nha
mấy bài sao tương tự nếu ko biết thì nhắn tin mình chỉ típ nha