Question

(x:4-1)⁴=1/81

Answer 1

`(x:4-1)^4 = 1/81`

`(x:4-1)^4 =`\(\left(\pm\dfrac{1}{3}\right)^4\)

`@TH1:`

`x:4-1=1/3`

`x:4=1/3+1`

`x:4=1/3+3/3`

`x:4=4/3`

`x=4/3 xx 4`

`x=16/3`

`@TH2:`

`x:4-1=-1/3`

`x:4=-1/3+1`

`x:4=-1/3+3/3`

`x:4=2/3`

`x=2/3 xx 4`

`x=8/3`

Vậy `x = {8/3 ;16/3}`

Answer 2

(x : 4 - 1)⁴ =1/81

(x : 4 - 1)⁴ = (1/3)⁴ hoặc (x : 4 - 1)⁴ = (-1/3)⁴

x : 4 - 1 = 1/3 hoặc x : 4 - 1 = -1/3

*) x : 4 - 1 = 1/3

x : 4 = 1/3 + 1

x : 4 = 4/3

x = (4/3) . 4

x = 16/3

*) x : 4 - 1 = -1/3

x : 4 = -1/3 + 1

x : 4 = 2/3

x = (2/3) . 4

x = 8/3

Vậy x = 8/3; x = 16/3

Answer 3

x=8/3

x=16/3.

x=-\(\dfrac{4i-12}{3}\)

x=\(\dfrac{4i+12}{3}\)

Answer 4

\(\left(x:4-1\right)^4=\left(\dfrac{1}{3}\right)^4\)  

\(\Rightarrow x:4-1=\dfrac{1}{3}\) 

\(\Rightarrow x:4=\dfrac{4}{3}\) 

\(\Rightarrow x=\dfrac{16}{3}\)