\(4.3^{x-1}+2.3^{x+2}=4.3^4+2.3^9\)
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
tìm \(x\)biết:
\(4.3^{x+1}+2.3^{x-2}=4.3^6+2.3^9\)
Từ đề bài ta suy ra:
\(x+1=6\)
\(y-2=9\)(y này là thay thế cho x thứ 2 để gọi cho dễ)
Vậy x=5; y(x2)=11
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
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
1, 2. 3x+2+4.3x+1=10 . 36
2, 4.3x-2+2.3x+1=4.36+2 .30
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
2.3x+2+4.3x+1=10.31
\(2.3^{x+2}+4.3^{x+1}=10.3\)
\(\Leftrightarrow2.3^{x+1}\left(3+2\right)=10.3\)
\(\Leftrightarrow3^{x+1}=3\)
\(\Leftrightarrow x+1=1\)
\(\Leftrightarrow x=0\)
2.3x+24.3x+1=10.36
2.3x+2+4.3x+1=10.36
=>2.3.3x+1+4.3x+1=10.36
=>(6+4).3x+1=10.36
=>10.3x+1=10.36
=>3x+1=36
=>x+1=6
=>x=5