`2^6 = 2^(2*3) = (2^3)^2 =8^2 `

2⁶ = ( 2³ )² = 8² 

`(2x+1)^3 =27`

`(2x+1)^3 =3^3`

`2x+1 =3`

`2x= 3-1 =2`

`x=2/2=1`

( 2x + 1 ) ³ = 27

<=> 2x + 1 = 3 

<=> 2x = 2 

<=> x = 1 

a) 2x - 5 =7 

<=> 2x = 12

<=> x = 6 

b) 70 : ( 15 - x ) = 10

<=> 15 - x = 7

<=> x = 8 

c) x³ - 3 = 5

<=> x³ = 8

<=> x = 2

a)2x-5=7

   2x=7+5

   2x=12

     x=12:2

     x=6    vậy x=6

b)70:(15-x)=10

          15-x =70:10

          15-x =7

               x  = 15-7

                x =8          vậy x=8

c)ko có kết quả bạn ạ

a) 2ⁿ = 64 => n = 6

b) 2^n-1 = 16 => 2^n-1=2⁴ => n = 5

c) 4ⁿ : 4² = 16 => 4ⁿ =256 => n = 4

d) 64 . 4ⁿ = 4⁵ => 4ⁿ = 16 =>n = 2

a. 2ⁿ = 64

2ⁿ = 2⁶

=> n = 6

b. 2^n-1 = 16

2^n-1 = 2⁴

=> n - 1 = 4

=> n = 4 + 1

=> n = 5

c. 4ⁿ : 4² = 16

4ⁿ : 4² = 4²

4ⁿ = 4² . 4²

4ⁿ = 4⁴

=> n = 4

d. 64 . 4ⁿ = 4⁵

4³ . 4ⁿ = 4⁵

4ⁿ = 4⁵ : 4³

4ⁿ = 4²

=> n = 2

\(3^{-1}.3^n+5.3^{n-1}=162\)

\(\Leftrightarrow\dfrac{1}{3}.3^n+5.3^n:3^1=162\)

\(\Leftrightarrow\dfrac{3^n}{3}+5.\dfrac{3^n}{3}=162\)

\(\Leftrightarrow\dfrac{3^n}{3}.\left(1+5\right)=162\)

\(\Leftrightarrow\dfrac{3^n}{3}=27\)

\(\Leftrightarrow3^n=3^3.3\)

\(\Leftrightarrow n=4\)

`3^(-1) *3^n +5 * 3^(n-1) =162`

`1/3 *3^n + 5*3^n :3 =162`

`1/3 *  3^n + 5/3 *3^n =162`

`3^n ( 1/3 +5/3 ) =162`

`3^n * 2 =162`

`3^n = 162/2 =81`

`3^n = 3^4`

`=> n=4`

`(17.X-11)^3=21`

`(17x-11)^3 =3^3`

`17x -11 =3`

`17x =3+11 =14`

`x= 14/17`

`3 (x-1)^5 = 96``

(x-1)^5 = 96/3 =32`

`(x-1)^5 = 2^5`

`x-1=2`

`x=2+1=3`

3 . [ x - 1 ]⁵ = 96

[ x - 1 ]⁵ = 96 : 3 

[ x - 1 ]⁵ = 32

[ x - 1 ]⁵ = ?

bạn ơi đề bài hình như sai r ạ. bạn xem lại ak

cần gấp

 Bằng 15⁰ nha bạn

15⁷ : 5⁷ 

= (15 : 5)⁷

= 3⁷

^{= 2187}