\(a,=49-36:9=49-4=45\\ b,=10^4:\left(12-28:14\right)=10^4:\left(12-2\right)=10^4:10=10^3=1000\)

\(7^2-36:3^2=49-36:9=49-4=45\\ 10^4:\left\{12-\left[\left(3^3+1\right):14\right]\right\}=10^4:\left\{12-2\right\}=10^4:6=16500\)

\(27\cdot36+73\cdot99+27\cdot14-49\cdot7\)

\(=27\cdot\left(36+14\right)+73\cdot99-49\cdot7\)

\(=27\cdot50+6884=1350+6884=8234\)

\(\dfrac{5^6}{5^4}+2^3\cdot2^2-1^{2017}\)

\(=5^2+2^5-1\)

=25+32-1

=25+31

=56

64+6²x19                            2²x3-(1¹⁰+8)3²                      7²-36:3²

=64+36x19                         =4x3-(1+8)9                        =49-36:9

=100x19                             =12-(1+8)9                          =49-4

=1900                                 =12-9.9                               =45

                                           =-6

Hok tốt!

1. 2^x=16\(\Rightarrow\)X=4

2. 2^2x-1=2⁷

\(\Rightarrow\)2⁷=2^2.4-1

Vậy x =4

x=4 nha chị

Bài 9,

6²x73+36x3³=36x73+36x27=36(73+27)=36x100=3600.

197-\([\)6x(5-1)²+2022⁰\(]\):5=197-\([\)6x16+1\(]\):5=197-97:5=197-97/5=888/5.

Bài 10,

21-4x=13

=>4x=21-13=8

=>x=8:4=2.

30:(x-3)+1=4⁵:4³=4²=16

=>30:(x-3)=16-1=15

=>x-3=30:15=2

=>x=2+3=5.

(x-1)³+5x6=38

=>(x-1)³+30=38

=>(x-1)³=38-30=8=2³

=>x-1=2

=>x=3.

a) \(4^n=4096\Rightarrow4^n=4^6\Rightarrow n=6\)

b) \(5^n=15625\Rightarrow5^n=5^6\Rightarrow n=6\)

c) \(6^{n+3}=216\Rightarrow6^{n+3}=6^3\Rightarrow n+3=3\Rightarrow n=0\)

d) \(x^2=x^3\Rightarrow x^3-x^2=0\Rightarrow x^2\left(x-1\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x-1=0\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)

e) \(3^{x-1}=27\Rightarrow3^{x-1}=3^3\Rightarrow x-1=3\Rightarrow x=4\)

f) \(3^{x+1}=9\Rightarrow3^{x+1}=3^2\Rightarrow x+1=2\Rightarrow x=1\)

g) \(6^{x+1}=36\Rightarrow6^{x+1}=6^2\Rightarrow x+1=2\Rightarrow x=1\)

h) \(3^{2x+1}=27\Rightarrow3^{2x+1}=3^3\Rightarrow2x+1=3\Rightarrow2x=2\Rightarrow x=1\)

i) \(x^{50}=x\Rightarrow x^{50}-x=0\Rightarrow x\left(x^{49}-1\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\x^{49}-1=0\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=0\\x^{49}=1=1^{49}\end{matrix}\right.\)  \(\Rightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)

4ⁿ  =  4096 

4ⁿ = 2¹²

n = 12

5ⁿ = 15625 

5ⁿ = 5⁶

n   = 6

6ⁿ⁺³ = 216

6ⁿ⁺³ = 2³.3³

6ⁿ⁺³ = 6³

n + 3 = 3

4ⁿ = 4096

4ⁿ = 4⁶

n = 6 (nhận)

Vậy n = 6

--------------------

5ⁿ = 15625

5ⁿ = 5⁶

n = 6 (nhận)

Vậy n = 6

--------------------

4ⁿ⁻¹ = 1024

4ⁿ⁻¹ = 4⁵

n - 1 = 5

n = 6 (nhận)

Vậy n = 6

-------------------

6ⁿ⁺³ = 216

6ⁿ⁺³ = 6³

n + 3 = 3

n = 0  (nhận)

Vậy n = 0

--------------------

x² = x³

x³ - x² = 0

x(x² - 1) = 0

x = 0 (nhận) hoặc x² - 1 = 0

*) x² - 1 = 0

x² = 1

x = 1 (nhận) hoặc x = -1 (loại)

Vậy x = 0; x = 1 

--------------------

3ˣ⁻¹ = 27

3ˣ⁻¹ = 3³

x - 1 = 3

x = 3 + 1

x = 4 (nhận)

Vậy x = 4

---------------------

3ˣ⁺¹ = 9

3ˣ⁺¹ = 3²

x + 1 = 2

x = 2 - 1

x = 1 (nhận)

Vậy x = 1

--------------------

6ˣ⁺¹ = 36

6ˣ⁺¹ = 6²

x + 1 = 2

x = 2 - 1

x = 1 (nhận)

Vậy x = 1

--------------------

3²ˣ⁺¹ = 27

3²ˣ⁺¹ = 3³

2x + 1 = 3

2x = 3 - 1

2x = 2

x = 1 (nhận)

Vậy x = 1

--------------------

x⁵⁰ = x

x⁵⁰ - x = 0

x(x⁴⁹ - 1) = 0

x = 0 (nhận) hoặc x⁴⁹ - 1 = 0

*) x⁴⁹ - 1 = 0

x⁴⁹ = 1

x = 1 (nhận)

Vậy x = 0; x = 1

2^(10 : 64 x 16) = 2^[(10 x 16) : 64] = 2^(160 : 64) = 2^25

2^(10 x 8) = 2^80     3^(5 : 27) = 3^(5/27)     5^(2 x 125) = 5^250     6^(6 : 36) = 6^(1/6)

a) \(\left(x-\frac{2}{3}\right)^2=\frac{25}{36}\)

\(\Rightarrow x-\frac{2}{3}=\pm\frac{5}{6}\)

Nếu \(x-\frac{2}{3}=\frac{5}{6}\Rightarrow x=\frac{5}{6}+\frac{2}{3}=\frac{3}{2}\)

Nếu \(x-\frac{2}{3}=\frac{-5}{6}\Rightarrow x=\frac{-5}{6}+\frac{2}{3}=\frac{-1}{6}\)

Vậy \(x=\left\{-\frac{1}{6};\frac{3}{2}\right\}\)

b) \(\left(\frac{3}{4}-x\right)^3=-8\)

Mà \(\left(-2\right)^2=-8\)

\(\Rightarrow\frac{3}{4}-x=-2\Rightarrow x=\frac{3}{4}-\left(-2\right)=\frac{3}{4}+2=\frac{11}{4}\)

Vậy \(x=\left\{\frac{11}{4}\right\}\)

a)2⁸ 

b)5¹²

c)6⁸

d)a¹⁶

a) 2⁸

b) 5¹²

c) 6⁸

d) a¹⁶

bạn nhân từ từ là ra nhé