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a) ( x - 2/9 )3 = ( 2/3 ) 6
=> ( x - 2/9 )3 = (4/9 )3
=> x - 2/9 = 4/9
=> x = 4/9 - 2/9
=> x = 2/9
a) 5x . ( 53) 2 = 625
5x . 56 = 625
mà 625 = 54
Suy ra : x + 6 = 4
x = 4 - 6
x = -2
b) (-3/4 )3x - 1 = 256/81
(-3/4 )3X - 1 = (-3/4)-4
SUY RA : 3X - 1 = -4
3X = -4 + 1 = -3
X = -3 : 3
X = -1
C ) (8x - 1 )2n+1 = 52n+1
SUY RA : 8X - 1 = 5
8X = 5 + 1
8 X = 6
X = 6 : 8
X = 3/4
d) (x - 2/9 )2 = 4/9
mà 4/9 = 2/32
SUY RA : x - 2/9 = 2/3
x = 2/3 + 2/9
x = 24/27
Câu e mình không bít làm bn chịu khó suy nghĩ nha !
\(a,35:\left(\frac{-5}{3}\right)+2\frac{1}{2}:\left(-\frac{5}{3}\right)=35.\left(-\frac{3}{5}\right)+\frac{5}{2}.\left(-\frac{3}{5}\right)\)
\(=-21+-\frac{3}{2}\)
\(=\frac{-42-3}{2}=-\frac{45}{2}\)
\(b,\frac{10^3+2.5^3+5^3}{55}=\frac{\left(2.5\right)^3+2.5^3+5^3}{5.11}\)
\(=\frac{5^3\left(2^3+2+1\right)}{5.11}\)
\(=\frac{5^2\left(8+2+1\right)}{11}\)
\(=\frac{5^2.11}{11}=5^2=25\)
\(C,\frac{27^2.2^5}{6^6.32^3}=\frac{\left(3^3\right)^2.2^5}{\left(2.3\right)^6.2^5}\)
\(=\frac{3^6}{2^6.3^6}=\frac{1}{2^6}=\frac{1}{64}\)
a, ( x-1)3= -27
=> x - 1 = -3
=> x = -2
b, ( 2x - 1)2=25
=> 2x - 1 = 5 hoặc 2x - 1 = -5
=> 2x = 6 hoặc 2x = -4
=> x = 3 hoặc x = -2
c, ( x - 3/4)2= ( 1/2)6
=> (x - 3/4)^2 = 1/64
=> x - 3/4 = 1/8 hoặc x - 3/4 = -1/8
=> x = 7/8 hoặc x = 5/8
d, 2 x + 2 x +2 = 80
=> 2^x + 2^x.4 = 80
=> 2^x(1 + 4) = 80
=> 2^x.5 = 80
=> 2^x = 16
=> x = 4
e, 4x + 4 x + 3 = 4160
=> 4^x(1 + 64) = 4160
=> 4^x.65 = 4160
=> 4^x = 64
=> x = 3
a) \(\left(\frac{3}{5}\right)^{15}:\left(\frac{9}{25}\right)^5=\left(\frac{3}{5}\right)^{15}:\left(\left(\frac{3}{5}\right)^2\right)^5=\left(\frac{3}{5}\right)^{15}:\left(\frac{3}{5}\right)^{10}=\left(\frac{3}{5}\right)^5\)
b) \(5-\left(-\frac{5}{11}\right)^0+\left(\frac{1}{3}\right)^2:3=5-1+\frac{1}{9}:3=4+\frac{1}{27}=4\frac{1}{27}\)
c) \(2^3+3.\left(\frac{1}{2}\right)^0+\left(-2\right)^2:\frac{1}{2}.8=8+3.1+4:\frac{1}{2}.8=8+3+64=75\)
d) \(\left(-1\right)^{-1}-\left(-\frac{3}{5}\right)^0+\left(\frac{1}{2}\right)^{2:2}=-1-1+\left(\frac{1}{2}\right)^1=-2+\frac{1}{2}=-\frac{3}{2}\)
f(-1)=2n+2. g(-1)=2n+1.
f(x)+g(x)=2g(x)-x2n+1.
f(x)-g(x)=-x2n+1
mình thay -1 vào thôi bạn:
f(x)=x0+x1+x2+....+x2n+1
(có 2n+2 hạng tử)
f(-1)=1-(-1)+1-(-1)+1-........+1-(-1)
=1+1+1+1+....+1 =2n+1
(có 2n+1) hạng tử