Tìm x :
9( x + 4 ) - 25 = 5.4
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a) (x+1) ^2 = 25
(x+1) ^2 = 5^2
x + 1 = 5 Hoặc x + 1 = -5
x = 5 - 1 x = -5 - 1
x = 4 x = -6
b) 4^5.4^x-1 = 4^7
4^x-1 = 4^7:4^5
4^x-1 = 4^7-5
4^x-1 = 4^2
x- 1 = 2
x = 2+1
x = 3
a,\(\left(\dfrac{9}{25}-2.18\right):\left(3\dfrac{4}{5}+0,2\right)\)
\(=\left(\dfrac{9}{25}-36\right):\left(\dfrac{19}{5}+0,2\right)\)
\(=-\dfrac{891}{25}:4\)
\(=-\dfrac{891}{100}\)
b,\(\dfrac{5^4.20^4}{25^5.4^5}\)
\(=\dfrac{5^4.20^4}{\left(5^2\right)^5.\left(2^2\right)^5}\)
\(=\dfrac{5^4.20^4}{5^{10}.2^{10}}\)
\(=\dfrac{20^4}{5^6.2^{10}}\)
A) x + 4 = -16
x = -16 - 4
x = -20
Vậy x = -20
b) 12- ( x - 5 ) =5.4
12 -x -5 = 20
x = 7 - 20
x = -13
Vậy x= -13
c) (-2)x - ( x - 17 ) = 34 - ( -x + 25 )
( -2 )x - x + 17 = 34 + x - 25
-3x + 17 = 11 + x
-3x - x = 11 - 17
-4x = -6
x = 1,5
Vậy x = 1,5
d) 17x - ( -16x - 37 ) = 2x + 43
17x + 16x - 2x = 43 -37
30x = 6
x = 0,2
Vậy x = 0,2
4^5=2^10
9^4=3^8
2*6^9=2^10*3^9
thì cái tử sẽ đc:
2^10*(-3)
mẫu e phân tích tt
Ta có
\(E=\frac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\cdot\frac{5^4.20^4}{25^5.4^5}\)
\(=\frac{2^{10}.3^8-2^{10}.3^9}{2^{10}.3^8+2^{10}.3^8.5}\cdot\frac{2^8.5^8}{5^{10}.2^{10}}\)
\(=\frac{2^{10}.3^8.\left(1-3\right)}{2^{10}.3^8.\left(1+5\right)}\cdot\frac{1}{5^2.2^2}\)
\(=\frac{\left(-2\right)}{6}\cdot\frac{1}{100}=-\frac{1}{3}\cdot\frac{1}{100}=-\frac{1}{300}\)
Vậy : \(E=-\frac{1}{300}\)
Bài làm
\(E=\frac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}.\frac{5^4.20^4}{25^5.4^5}\)
\(\Rightarrow E=\frac{2^{10}.3^8-2.2^9.3^9}{2^{10}.3^8+2^8.3^8.2^2.5}.\frac{5^4.4^4.5^4}{5^{10}.4^5}\)
\(\Rightarrow E=\frac{2^{10}.3^8-2^{10}.3^9}{2^{10}.3^8+2^{10}.3^8.5}.\frac{5^8.4^4}{5^{10}.4^5}\)
\(\Rightarrow E=\frac{2^{10}\left(3^8-3^9\right)}{2^{10}\left(3^8+3^8.5\right)}.\frac{1}{5^2.4}\)
\(\Rightarrow E=\frac{3^8-3^9}{3^8\left(1+5\right)}.\frac{1}{100}\)
\(\Rightarrow E=\frac{3^8\left(1-3\right)}{3^8\left(1+5\right)}.\frac{1}{100}\)
\(\Rightarrow E=-\frac{2}{6}.\frac{1}{100}\)
\(\Rightarrow E=-\frac{1}{300}\)
a ) 123 - 5 . ( x - 4 ) = 38
5 . ( x - 4 ) = 85
x - 4 = 17
x = 21
b ) 2 . x - 183 = 2 ^ 3 . 3 ^ 2
2 . x - 183 = 72
2 . x = 255
x = 127 , 5
c ) 10 + 2 . x = 4 ^ 5 . 4 ^ 3
10 + 2 .x = 65536
2 . x = 65526
x = 32763
d ) 25 + ( 177 - x ) = 3 ^ 2 . 2 ^ 2
25 + ( 177 - x ) = 36
177 - x = 11
x = 166
\(9\left(x+4\right)-25=5\cdot4\)
\(9\left(x+4\right)=20+25\)
\(9\left(x+4\right)=45\)
\(x+4=\frac{45}{9}\)
\(x+4=5\)
\(x=5-4\)
\(x=1\)
\(9.\left(x+4\right)-25=5.4\)
\(9x+9.4=20+25\)
\(9x+36=45\)
\(9x=45-36\)
\(9x=9\)
\(x=9:9\)
\(x=1\)
Vậy \(x=1\)