\(\left(2x+5\right)^4=3^4.5^4\)
\(\left(2x+5\right)^4=\left(3.5\right)^4=15^4\)
\(=>2x+5=15\)
\(2x=15-5\)
\(2x=10\)
\(x=10:2\)
\(x=5\)
\(\left(2x+5\right)^4=3^4\cdot5^4\\ \left(2x+5\right)^4=15^4\\ 2x+5=15\\ 2x=10\\ x=5\)
`(2x+5)^4=3^4*5^4`
`(2x+5)^4=(3*5)^4`
`(2x+5)^4=15^4`
`=>2x+5=15`
`x=5`
(2x + 5)⁴ = 3⁴.5⁴
(2x + 5)⁴ = (3.5)⁴
(2x + 5)⁴ = 15⁴
⇒ 2x + 5 = 15 hoặc 2x + 5 = -15
*) 2x + 5 = 15
2x = 15 - 5
2x = 10
x = 10 : 2
x = 5
*) 2x + 5 = -15
2x = -15 - 5
2x = -20
x = -20 : 2
x = -10
Vậy x = -10; x = 5
\(\left(2x+5\right)^4=3^4.5^4\\ \left(2x+5\right)^4=15^4\)
\(\Rightarrow2x+5=15\)
\(\Rightarrow2x=15-5=10\)
\(\Rightarrow x=10:2=5\)
