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1: =>\(5^{x-2}-9=2^4-\left(6^2-6^2\right)\)
=>\(5^{x-2}=16+9=25\)
=>x-2=2
=>x=4
2: \(\Leftrightarrow3^x+16=19^6:19^5-3=19-3=16\)
=>3^x=0
=>x=0
3: \(\Leftrightarrow2^x+2^x\cdot16=272\)
=>2^x*17=272
=>2^x=16
=>x=4
4: \(\Leftrightarrow2^{x-1}+3=24-\left(4^2-2^2+1\right)=24-\left(16-4+1\right)\)
=>\(2^{x-1}+3=24-16+4-1=8+4-1=12-1=11\)
=>2^x-1=8
=>x-1=3
=>x=4
2840 + [ ( 999 - 9 x X ) : 60 ] x 24 = 3200
=> [ ( 999 - 9 x X ) : 60 ] x 24 = 3200 - 2840 = 360
=> ( 999 - 9 x X ) : 60 = 360 : 24 = 15
= > 999 - 9 x X = 15 x 60 = 900
= > 9 x X = 999 - 900 = 99
=> X = 99 : 9 = 11
Đúng NHa !!!
2840+[(999-9.x):60].24=3200
[(999-9.x):60].24 = 3200 - 2840
[(999-9.x):60].24 = 360
(999-9.x):60 = 360 : 24
(999-9.x):60 = 15
999-9.x = 15 . 60
999-9.x = 900
9.x = 999 - 900
9.x = 99
x = 99 : 9
x = 11
Vậy x=1
Đáp án cần chọn là: B
x∈{−1;0;1;2;3;4;5}
5 6 + − 7 8 ≤ x 24 ≤ − 5 12 + 5 8 − 1 24 ≤ x 24 ≤ 5 24 − 1 ≤ x ≤ 5
- 7 8 + 5 6 < x 24 ≤ 5 8 + - 5 12
⇔ - 21 24 + 20 24 ≤ x 24 ≤ 15 24 + - 10 24 ⇔ - 1 24 ≤ x 24 ≤ 5 24
-1 ≤ x ≤ 5 mà x ∈ Z. Do đó: x ∈ { -1 ; 0 ; 1 ; 2 ; 3 ; 4 ; 5 }
`#3107.101107`
a)
\(5\left(x-1\right)^3=40\\\Rightarrow\left(x-1\right)^3=40\div5\\ \Rightarrow\left(x-1\right)^3=8\\ \Rightarrow\left(x-1\right)^3=2^3\\ \Rightarrow x-1=2\\ \Rightarrow x=2+1\\ \Rightarrow x=3\)
Vậy, `x = 3`
b)
\(3^{2x+1}+9^x=324?\\ \Rightarrow3^{2x}\cdot3+3^{2x}=324\\ \Rightarrow3^{2x}\cdot\left(3+1\right)=324\\ \Rightarrow3^{2x}\cdot4=324\\ \Rightarrow3^{2x}=81\\ \Rightarrow3^{2x}=3^4\\ \Rightarrow2x=4\\ \Rightarrow x=2\)
Vậy, `x = 2`
c)
\(5^x-13=3\cdot2^2\\ \Rightarrow5^x-13=12\\ \Rightarrow5^x=12+13\\ \Rightarrow5^x=25\\ \Rightarrow5^x=5^2\\ \Rightarrow x=2\)
Vậy, `x = 2`
d)
\(8^x+2^{3x+1}=192\\ \Rightarrow2^{3x}+2^{3x}\cdot2=192\\ \Rightarrow2^{3x}\left(1+2\right)=192\\ \Rightarrow2^{3x}\cdot3=192\\ \Rightarrow2^{3x}=64\\ \Rightarrow2^{3x}=2^6\\ \Rightarrow3x=6\\ \Rightarrow x=2\)
Vậy, `x = 2.`
-1 ≤ x ≤ 5 mà x ∈ Z. Do đó: x ∈ { -1 ; 0 ; 1 ; 2 ; 3 ; 4 ; 5 }
(3\(x\) + 2) x 24 = 192
3\(x\) + 2 = 192 : 24
3\(x\) + 2 = 8
3\(x\) = 8 - 2
3\(x\) = 6
\(x\) = 2
(3x+2).24=192
3x+2 =192:24
3x+2 =8
3x =8-2
3x =6
x =6:3
x = 2
Vậy x =2