a) (x - 1/2)² = 4
(x - 1/2)² = 2² hoặc (x - 1/2)² = (-2)²
x - 1/2 = 2 hoặc x - 1/2 = -2
*) x - 1/2 = 2
x = 2 + 1/2
x = 5/2
*) x - 1/2 = -2
x = -2 + 1/2
x = -3/2
Vậy x = -3/2; x = 5/2
b) (x + 1)³ = -125
(x + 1)³ = (-5)³
x + 1 = -5
x = -5 - 1
x = -6
Vậy x = -6
c) 3^(4 - x) = 27
3^(4 - x) = 3³
4 - x = 3
x = 4 - 3
x = 1
Vậy x = 1
d) (x + 1,5)⁸ + (2,7 - y)¹⁰ = 0
x + 1,5 = 0 và 2,7 - y = 0
*) x + 1 5 = 0
x = -1,5
*) 2,7 - y = 0
y = 2,7
Vậy x = -1,5; y = 2,7
e) 10/3 . 4^x = 5/3 . 2
10/3 . 4^x = 10/3
4^x = 1
4^x = 4⁰
x = 0
Vậy x = 0
f) 9^x . 27^x = 243
243^x = 243
x = 1
Vậy x = 1
a) (x - \(\dfrac{1}{2}\))\(^2\) = 4
<=> (x - \(\dfrac{1}{2}\))\(^2\) = 2\(^2\)
<=> x - \(\dfrac{1}{2}\) = -2; 2
<=> x - \(\dfrac{1}{2}\) = 2 hoặc x - \(\dfrac{1}{2}\) = -2
x = 2 + \(\dfrac{1}{2}\) x = (-2) + \(\dfrac{1}{2}\)
x = \(\dfrac{5}{2}\) x = \(-\dfrac{3}{2}\)
=> x = \(\dfrac{5}{2}\) hoặc x = \(-\dfrac{3}{2}\)
c) \(3^{4-x}=27\)
\(3^{4-x}=3^3\)
\(4-x=3\)
\(x=1\)
