x/27 = 16/9
m x 9 / 16 = 27 / 8
4 / 9 : m = 2 / 27
M×9/16=27/8
M=27/8÷9/16
M=6
4/9÷m=2/27
M=4/9÷2/27
M=6
Giải mỗi phương trình sau:
a) \({9^{16 - x}} = {27^{x + 4}}\)
b) \({16^{x - 2}} = 0,{25.2^{ - x + 4}}\)
a)
\(9^{16-x}=27^{x+4}\\ \Leftrightarrow3^{2.\left(16-x\right)}=3^{3.\left(x+4\right)}\\ \Leftrightarrow2.\left(16-x\right)=3.\left(x+4\right)\\ \Leftrightarrow32-2x-3x-12=0\\ \Leftrightarrow-5x=-20\Leftrightarrow x=4\)
b)
\(16^{x-2}=0,25.2^{-x+4}\\ \Leftrightarrow2^{4\left(x-2\right)}=0,25.2^{-x+4}\\ \Leftrightarrow2^{4x-8+x-4}=0,25\\ \Leftrightarrow2^{5x-12}=0,25\Leftrightarrow5x-12=\log_20,25\\ \Leftrightarrow5x-12=-2\\ \Leftrightarrow x=2\)
Tính nhanh:
2/3 x 4/5 + 4/5 x 8/3 27/32 x 16/9 - 27/32 x 7/9 + 27/32
2/3 x 4/5 + 4/5 x 8/3 = 4/5 x (2/3 + 8/3) = 4/5 x 10/3 = 8/3
27/32 x 16/9 -27/32 x7/9 + 27/32
= 27/32 x (16/9 - 7/9 + 1 )
=27/32 x 2
=27/16
\(\frac{2}{3}\) x \(\frac{4}{5}\) + \(\frac{4}{5}\) x \(\frac{8}{3}\)
=\(\frac{4}{5}\) x ( \(\frac{2}{3}\) + \(\frac{8}{3}\) )
= \(\frac{4}{5}\) x \(\frac{10}{3}\)
= \(\frac{40}{15}\) = \(\frac{8}{5}\)
\(x+\dfrac{4}{9}+\dfrac{8}{18}+\dfrac{12}{27}+\dfrac{16}{36}=\dfrac{16}{9}\)
giúp mk với ạ
x + 4/9 + 8/18 + 12/27 + 16/36 = 16/9
x + (4/9+12/27)+(8/12+16/36) = 16/9
x + 8/9 + 10/9 = 16/9
x + 2 = 16/9
x = 16/9 - 2
x = -2/18
x+4/9+4/9+4/9+4/9=16/9
x+4/9.4=16/9
x+16/9=16/9
--> x = 0
Tìm x:
(9/16)5 nhân x = (27/64)3
Helpp
\(\left(\dfrac{9}{16}\right)^5\cdot x=\left(\dfrac{27}{64}\right)^3\)
\(\Leftrightarrow\left(\dfrac{3}{4}\right)^{10}\cdot x=\left(\dfrac{3}{4}\right)^9\)
\(\Rightarrow x=\left(\dfrac{3}{4}\right)^9:\left(\dfrac{3}{4}\right)^{10}\)
\(\Rightarrow x=\left(\dfrac{3}{4}\right)^{-1}\)
\(\Rightarrow x=\dfrac{4}{3}\)
Vậy x=4/3
(\(\dfrac{9}{16}\))5\(\times\) \(x\) = (\(\dfrac{27}{64}\))3
\(x\) = (\(\dfrac{27}{64}\))3 : (\(\dfrac{9}{16}\))5
\(x\) = (\(\dfrac{3^3}{2^6}\))3: (\(\dfrac{3^2}{2^4}\))5
\(x\) = \(\dfrac{3^9}{2^{18}}\) : \(\dfrac{3^{10}}{2^{20}}\)
\(x\) = \(\dfrac{3^9}{2^{18}}\) \(\times\) \(\dfrac{2^{20}}{3^{10}}\)
\(x\) = \(\dfrac{2^2}{3}\)
\(x\) = \(\dfrac{4}{3}\)
(9/16)^5×x=(27/64)^3
(3/4)^10×x=(3/4)^9
X=(3/4)^9÷(3/4)^10
X=(3/4)^-1
X=4/3
( 123 x 456 - 23 x 16 ) x ( 12 x 9 -4 x 27 )
( 123 . 456 - 23 . 16 ) . ( 12 . 9 - 4 . 27)
= ( 56088 - 368) . ( 108 - 108 )
= 55720 . 0
= 0
( 123 x 456 - 23 x 16 ) x ( 12 x 9 -4 x 27 )
=( 123 x 456 - 23 x 16 ) x (108 -108)
=( 123 x 456 - 23 x 16 ) x 0=0
( 123 x 456 - 23 x 16 ) x ( 12 x9 - 4 x 27 ) = ( 123 x 456 - 23 x 16 ) ( x 108 - 108 )
= 557 / 0
= 0
Chúc bạn học tốt Kane thân mến !
x/4+x/8+x/16=x/9+x/27+x/81
16/27x X+2/9=10/27 Tìm X
SOS giúp mik với mn
\(\dfrac{16}{27}xX=\dfrac{10}{27}-\dfrac{6}{27}\)
\(\dfrac{16}{27}xX=\dfrac{4}{27}\)
\(X=\dfrac{4}{27}:\dfrac{16}{27}\)
X=\(\dfrac{1}{4}\)
16/27x X+2/9=10/27
16/27x X=10/27-2/9
16/27x X=4/27
X=4/27:16/27
X=1/4
[ ( 1/9:8/27) :16/48] x 81/428