a) (3.x - 2)³ = 2.32

=> (3.x - 2)³ = 64 = 4³

=> 3.x - 2 = 4

=> 3.x = 6

=> x = 2.

b) 5^x+1 - 5^x = 500

=>5^x.5 - 5^x = 500

=> 5^x.(5 - 1) = 500

=> 5^x.4 = 500

=> 5^x = 125 = 5³

=> x = 3

\(a,\left(3.x-2\right)^3=2.32\)

\(\Rightarrow\left(3x-2\right)^3=64\)

\(\Rightarrow\left(3x-2\right)^3=4^3\)

\(\Rightarrow3x-2=4\)

\(\Rightarrow3x=4+2=6\)

\(\Rightarrow x=2\)

\(b,5^{x+1}-5^x=500\)

\(\Rightarrow5^x.5-5^x=500\)

\(\Rightarrow5^x\left(5-1\right)=500\)

\(\Rightarrow5^x=500:4=125=5^3\)

\(\Rightarrow x=3\)

Lời giải:

$86:(2.5x-1-7)+42=2.32=64$

$86:(10x-8)+42=64$

$86:(10x-8)=64-42=22$

$10x-8=86:22=\frac{43}{11}$

$10x=\frac{43}{11}+8=\frac{131}{11}$

$x=\frac{131}{11}:10=\frac{131}{110}$

a, (3.x-2)³=2.32

=>(3x-2)³=64

=>(3x-2)³=4³

=>3x-2=4

=>3x=6

=>x=2

b,5^x+1-5^x=500

=>5^x(5-1)=500

=>5^x*4=500

=>5^x=125

=>5^x=5³

=>x=3

( 483,4 - 5 * x ) * 2,32 = 174

( 483,4 - 5 * x )           = 174 : 2,32 

( 483,4 - 5 * x )           = 75

5 * x                          = 483,4 - 75 

5 * x                          = 408,4

x                               = 408,4 : 5

x                               = 81,68

mik học lớp 6 nhưng chưa thấy dề này bao giờ

`@` `\text {Ans}`

`\downarrow`

`(3x - 2)^3 = 2*32`

`=> (3x - 2)^3 = 2*2^5`

`=> (3x - 2)^3 = 2^6`

`=> (3x - 2)^3 = 4^3`

`=> 3x - 2 = 4`

`=> 3x = 6`

`=> x = 6 \div 3`

`=> x = 2`

Vậy, `x = 2.`

=>(3x-2)^3=64

=>3x-2=4

=>3x=6

=>x=2

a: \(M=\frac{53\cdot71-18}{71\cdot52+53}\)

\(=\frac{71\cdot52+71-18}{71\cdot52+53}=\frac{71\cdot52+53}{71\cdot52+53}=1\)

\(N=\frac{54\cdot107-53}{53\cdot107+54}\)

\(=\frac{53\cdot107+107-53}{53\cdot107+54}=\frac{53\cdot107+54}{53\cdot107+54}\)

=1

=>M=N

b: \(A=\frac{7\cdot9+14\cdot27+21\cdot36}{21\cdot27+42\cdot81+63\cdot108}\)

\(=\frac{7\cdot9\cdot\left(1+2\cdot3+3\cdot4\right)}{21\cdot27\cdot\left(1+2\cdot3+3\cdot4\right)}=\frac{7}{21}\cdot\frac{9}{27}=\frac13\cdot\frac13=\frac19\)

\(B=\frac{37}{333}=\frac{37}{37\cdot9}=\frac19\)

Do đó: A=B

3^x-5 = 1

x  - 5 = 0 => x=  5

2^x + 2^x+1 = 96

2^x.(1+2) = 96

2^x = 96 : 3= 32

2^x = 2⁵

Vậy x = 5

(3x - 2)³ = 2.32 =64

(3x - 2)³ = 4³

3x - 2 = 4 => 3x = 6

x = 6 :  = 2

149 - (35:x + 3).17 = 13

(35:x + 3).17 = 149 - 13 = 136

35:x + 3 = 136 : 17 = 8

35:x = 8 - 3  = 5

x = 35 : 5 = 7 

\(\left(3x-2\right)^3=2.32\)

\(\Leftrightarrow\left(3x-2\right)^3=64\)

\(\Leftrightarrow\left(3x-2\right)^3=4^{^3}\)

\(\Rightarrow3x-2=4\)

\(\Leftrightarrow3x=6\)

\(\Leftrightarrow x=2\)

Vậy \(x=2\)