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a)\(\left(\frac{1}{2}-\frac{1}{3}\right).6^x+6^{x+2}=6^{15}+6^{18}\)
\(\frac{1}{6}.6^x+6^{x+2}=6^{15}\left(1+6^3\right)\)
\(\frac{1}{6}.6^x\left(1+6^3\right)=6^{15}.217\)
\(6^{x-1}.217=6^{15}.217\)
\(6^{x-1}=6^{15}\)
\(x-1=15\)
\(x=16\)
b) \(\left(\frac{1}{2}-\frac{1}{6}\right).3^{x+4}-4.3^x=3^{16}-4.3^{13}\)
\(\frac{1}{3}.3^x.4\left(3^4-1\right)=3^{13}.4\left(3^3-1\right)\)
\(3^x.4.\left(3^3-1\right)=3^{13}.4.\left(3^3-1\right)\)
\(3^x=3^{13}\)
\(x=13\)
\(\left(\frac{1}{2}-\frac{1}{6}\right).\left(3^x.3^4\right)-4.3^x=3^{16}-4.3^{13}\)
=> \(\frac{1}{3}.3^x.3^4-4.3^x=3^{16}-4.3^{13}\)
=> \(3^x.3^4-4.3^x=\left(3^{16}-4.3^{13}\right):\frac{1}{3}\)
=> \(3^x.3^4-4.3^x=-386339074,3\)
=> \(3^x.\left(3^4-4\right)=-386339074,3\)
=> \(3^x.77=-386339074,3\)
=> \(3^x=-386339074,3:77\)
=> \(3^x=-5017390,575\)
=> x = ... chắc tự ngồi tính đc
a) \(-2\left(x+6\right)=8-6\left(x-10\right)\)
\(\Leftrightarrow-2x-12=8-6x+60\)
\(\Leftrightarrow-2x-12=-6x+68\)
\(\Leftrightarrow-2x=-6x+68+12\)
\(\Leftrightarrow-2x=-6x+80\)
\(\Leftrightarrow-2x+6x=80\)
\(\Leftrightarrow4x=80\)
\(\Leftrightarrow x=20\)
Vậy \(x=20\)
b) \(-4\left(2x+9\right)=\left(x+13\right)+\left(-8x+3\right)\)
\(\Leftrightarrow-4\left(2x+9\right)=x+13+-8x+3\)
\(\Leftrightarrow-4\left(2x+9\right)=x+13-8x+3\)
\(\Leftrightarrow-4\left(2x+9\right)=-7x+16\)
\(\Leftrightarrow-8x-36=-7x+16\)
\(\Leftrightarrow-36=-7x+16+8x\)
\(\Leftrightarrow x+16=-36\)
\(\Leftrightarrow x=-52\)
Vậy \(x=-52\)
a) -2(x+6)=8-6(x-10)
<=> -2x-12=8-6x+60
<=> -2x-12-68+6x=0
<=> 4x-80=0
<=> 4x=80
<=> x=20
b) -4(2x+9)=(x+13)+(-8x+3)
<=> -8x-36=x+13-8x+3
<=> -8x-36=-7x+16
<=> -8x-36+7x-16=0
<=> -x-52=0
<=> -x=52
<=> x=-52
1, Ta có :
a . 81 = 34 => 3x= 34 => x = 4 .
b. 125 = 53 => 5x+2 = 53 =>x + 2 = 3 => x = 1
c. 23 * 2x - 1 = 64
=> 23 + ( x - 1 ) = 64 = 26
=> 3 + ( x - 1 ) = 6
=> x - 1 = 6 - 3 = 3
x = 3 + 1
x = 4
a.\(\frac{1}{6}.6^x+6^x.36=6^{15}\left(1+6^3\right)\)
\(6^x.\frac{217}{6}=6^{15}.217\)
\(6^x=6^{16}\)
\(x=16\)
1)
(=)x2 = 82 + 62 = 64+36=100=102 = (-10)2
=> x=10 hoặc x=-10
2)
(=)|x-1| = -26/-24=13/12
=> x-1 = 13/12 hoặc x-1=-13/12
=> x= 25/12 hoặc x= -1/12
3)
(2x-4+7)\(⋮\left(x-2\right)\)
(=) 2(x-2) + 7 \(⋮\left(x-2\right)\)
(=) 7 \(⋮\left(x-2\right)\)
(=) x-2 \(\inƯ\left(7\right)=\left\{-7;-1;1;7\right\}\)
(=) x\(\in\left\{-5;1;3;9\right\}\)
vì x bé nhất => x=-5
#Học-tốt
\(1+x-2\left(5+3x\right)=4-5x\)
\(1+x-10-6x=4-5x\)
\(x-6x+5x=4+10-1\)
\(0x=13\Leftrightarrow x=0\)
1) Ta có: \(1+x-2.\left(5+3x\right)=4-5x\)
\(\Leftrightarrow1+x-10-6x=4-5x\)
\(\Leftrightarrow x-6x+5x=4-1+10\)
\(\Leftrightarrow0x=13\)( vô nghiệm )
Vậy \(S=\left\{\varnothing\right\}\)