5^x . (5^3)^2 = 625
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a) 3\(^{x-1}\)+3\(^x\)+3\(^{x+1}\)=1053
b) 5\(^{x-2}\).5\(^x\).5\(^{x+2}\).5\(^{x+4}\)= 625
giúp mình nha
a) \(3^{x-1}+3x+3^{x+1}=1053\)
\(=3^x:3+3^x+3^x.3=1053\)
\(=3^x.\dfrac{1}{3}+1+3=1053\)
\(=3^x.\dfrac{13}{5}=1053\)
\(=3^x=243\)
\(\Rightarrow x=5\)
Vậy \(x=5\)
5^x . (5^3)^2 = 625
Tìm x:
5x . (53)2 = 625
5x . 56 = 54
5x+6 = 54
=> x + 6 = 4
=> x = 4 - 6
x = -2
Vậy x = -2
Ủng hộ mk nha !!!! ^_^
5x . (53)2 = 625
5x . 56 = 54
5x = 54 : 56
5x =
5x . ( 53 )2 =625
5x . 56 = 54
5x + 6 = 54
x + 6 = 4
x = 4 - 6
x = -2
b) (3/7)5 x (7/3)-1 x (5/3)6 : (343/625)-2
( 3/7 ) 5 x ( 7/3 ) - 1 x ( 5/3 )6 : ( 343/652) - 2
= ( 3/7 x 7/3 ) + 5 - 1 x ( 5/3 : 343/652 ) - 2
= 1 + 5 - 1 x 2 - 1715/1956
= 6 - 2 - 1715/1956
=4 - 1715/1956
= 6109/1715
bn ê, đề là j vậy,sao mk đọc mà ko hỉu
5x . (53)2 =625
=> 5x . 56 = 54
=> 5x = 54 : 56
=> 5x = 54-6
=> 5x = 5-2
=> x = -2
Tim x :
5x . (53)2 = 625
Mình k chép lại đề bài nữa nha!
5x . 56 =625
5x+6= 54
=>x+6=4
=> x=-2
vậy x=-2
\(5^x\cdot\left(5^3\right)^2=625\\ \Leftrightarrow5^x\cdot5^6=5^4\\ \Leftrightarrow5^x=\dfrac{5^4}{5^6}\\ \Leftrightarrow5^x=\dfrac{1}{5^2}\\ \Leftrightarrow5^x=5^{-2}\\ \Leftrightarrow x=-2\)
Vậy \(x=-2\)
\(5^x\cdot\left(5^3\right)^2=625\)
\(5^x\cdot5^6=5^4\)
\(5^x=5^4:5^6\)
\(5^x=5^{-2}\)
\(x=-2\)
Vậy \(x=-2\).
Nguyễn thị kim oanh nè,bài của cậu đây.
Tính nhanh:
(75 x 625+175 x 625) : (20 x 25 x 125 - 625 x 75)
Cách làm:
(75 x 625+175 x 625) : (20 x 25 x 125 - 625 x 75)
=625 x (175+75) : (20 x 5 x 125 x 5 - 625 x 75)
=(625 x 250) : (20 x 5 x 625 - 625 x 75)
=(625 x 250 : (100 x 625 - 625 x 75)
=(625 x 250) : (625 x (100-75))
=(625 x 250) : (625 x 25)
=10
5x.(5^3)^2=625
(12/25)^x=(3/5)^2+(3/5)^4
27<813 : 8x<243
Tìm x biết :
\(5^x.\left(5^3\right)^2=625\)
5x.(53)2=625
=> 5x.56=54
=> 5x=54:56
=> 5x=5-2
=> x=-2
Vậy x=-2
\(^{=>5^x.5^6=5^4}\)
=> \(5^x=5^{4-6}\)
=>x=-2
Tìm x biết : 5x . ( 53 )2 = 625
5^x.5^6=5^4
5^x=5^4:5^6
5^x= tap hop rong
Suy ra x= tap hop rong
\(5^x.\left(5^3\right)^2=625\)
\(5^x.5^6=5^4\)
\(5^x=5^4\text{ }:\text{ }5^6\)
\(5^x=5^{-2}\)
\(\Rightarrow\text{ }x=-2\)