1.

a) a=5 vì 5² = 25

b) a=3 vì 3³ = 27

2.

a)x=2 vì 5² = 25

b ) x= 4 vì 4³ = 64

c ) x=1 vì 2¹ . 2 =4

chúc bn hok giỏi

bài 1

\(a=5\)

\(b=3\)

A=7 B=1 OR =0 C=2 D=4.5.6

a: \(2^{x}\cdot4=128\)

=>\(2^{x}=\frac{128}{4}=32=2^5\)

=>x=5

b: \(x^{15}=x\)

=>\(x^{15}-x=0\)

=>\(x\left(x^{14}-1\right)=0\)

=>\(\left[\begin{array}{l}x=0\\ x^{14}-1=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=0\\ x^{14}=1\end{array}\right.\Rightarrow\left[\begin{array}{l}x=0\\ x=1\end{array}\right.\)

c: \(\left(2x+1\right)^3=125\)

=>\(\left(2x+1\right)^3=5^3\)

=>2x+1=5

=>2x=5-1=4

=>\(x=\frac42=2\)

d: \(\left(x-5\right)^4=\left(x-5\right)^6\)

=>\(\left(x-5\right)^6-\left(x-5\right)^4=0\)

=>\(\left(x-5\right)^4\cdot\left\lbrack\left(x-5\right)^2-1\right\rbrack=0\)

=>\(\left(x-5\right)^4\cdot\left(x-5-1\right)\left(x-5+1\right)=0\)

=>\(\left(x-5\right)^4\cdot\left(x-6\right)\left(x-4\right)=0\)

=>\(\left[\begin{array}{l}x-5=0\\ x-6=0\\ x-4=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=5\\ x=6\\ x=4\end{array}\right.\)

mk sắp phải đi học rồi các bạn giúp mình với có đc ko mk nhớ sẽ đền đáp công ơn của bạn 

a) (5 - x) +12 = -25

<-> 5 - x + 12 = -25

<-> 17 - x = - 25

<-> x = 42

b) 12 - 4(x - 2) = -4

<-> 12 - 4x + 8 = -4

<-> 20 - 4x = -4

<-> 4x = 24

<-> x = 6

Bài 1:

\(\text{a) }x.x^2.x^3.x^4.x^5.....x^{49}.x^{50}\)

\(=x^{1+2+3+4+5+...+49+50}\)

\(=x^{\frac{51.50}{2}}\)

\(=x^{1275}\)
\(\text{b) Ta có:}\)

\(4^{15}=\left(2^2\right)^{15}=2^{2.15}=2^{30}\)

\(8^{11}=\left(2^3\right)^{11}=2^{3.11}=2^{33}\)

\(\text{Vì }2^{30}< 2^{33}\text{ nên }4^{15}< 8^{11}\)

Bài 2: Tìm x

      \(\left(x-1\right)^4:3^2=3^6\)

\(\Rightarrow\left(x-1\right)^4=3^6\times3^2\)

\(\Rightarrow\left(x-1\right)^4=3^8\)

\(\Rightarrow\left(x-1\right)^4=3^{2.4}\)

\(\Rightarrow\left(x-1\right)^4=\left(3^2\right)^4\)

\(\Rightarrow x-1=9\)

\(\Rightarrow x=10\)

Bài 3 và bài 4 mk làm sau

Bài 1 : a) \(x.x^2.x^3.x^4.....x^{49}.x^{50}=x^{1+2+3+...+49+50}\) (Dễ rồi tự tính)

b) \(\hept{\begin{cases}4^{15}=\left(2^2\right)^{15}=2^{30}\\8^{11}=\left(2^3\right)^{11}=2^{33}\end{cases}}\)Rồi tự so sánh đi

Bài 2 :

\(\left(x-1\right)^4\div3^2=3^6\Leftrightarrow\left(x-1\right)^4=3^8=\left(3^2\right)^4=9^4\Leftrightarrow x-1=9\Leftrightarrow x=10\)

Bài 3 : 

\(\hept{\begin{cases}27^{15}=\left(3^3\right)^{15}=3^{45}\\81^{11}=\left(3^4\right)^{11}=3^{44}\end{cases}}\) nt

a)437+(248-x)=635

248-x=635-437=198

x=248-198=50

b)5.(x+27)=465

x+27=465/5=93

x=93-27=66

c)3.(x+3)=30

x+3=30:3=10

x=10-3=7

d)8x-9=31

8x=31-9=22

x=22/8=11/4

e)7x-9=26

7x=26+9=35

x=35:7=5

g)76-3.(x+5)=16

3.(x+5)=76-16=60

x+5=60/3=20

x=15

dễ mà bạn tự làm đi

Câu a:

1 + {-2 - [-3 + (-4 + |x|)]} = 1 - 2 + [(-3 - 4)]

1 + {-2 -[-3 - 4 + |x|]} = 1 - 2 + [-7]

1 + {-2 - [- 7 + |x|]} = 1 - 2 - 7

1 + {- 2 + 7 - |x|} = - 1 - 7

1 + {5 - |x|} = - 8

5 - |x| = - 8 - 1

5 - |x| = - 9

|x| = 5 + 9

|x| = 14

x = - 14 hoặc x = 14

Vậy x ∈ {-14; 14}

Câu b:

34 + (9 - 21) = 3417 - (x + 3417)

34 + (-12) = 3417 - x - 3417

34 - 12 = 3417 - 3417 - x

22 = - x

x = 22 : (-1)

x = - 22

Vậy x = - 22

a) Sai đề

b)\(\left(x-2\right)^6=4^3\)

\(\left(x-2\right)^6=4^3=64=2^6=\left(-2\right)^6\)

\(\Rightarrow x-2=2\)hoặc \(x-2=-2\)

\(Th1:x-2=2\Leftrightarrow x=4\)

\(Th2:x-2=-2\Leftrightarrow x=0\)

c)\(\left(x+1\right)^2=3^4\)

\(\left(x+1\right)^2=3^4=81=9^2=\left(-9\right)^2\)

\(\Rightarrow x+1=9\)hoặc \(x+1=-9\)

\(Th1:x+1=9\Leftrightarrow x=8\)

\(Th2:x+1=-9\Leftrightarrow x=-10\)

d) \(3^{x+1}=243\)

\(3^{x+1}=3^5\)

\(\Leftrightarrow x+1=5\Leftrightarrow x=4\)

e)\(2^x=4^{10}=\left(2^2\right)^{10}=2^{20}\Leftrightarrow x=20\)

d) \(3^{x+1}=243\)

\(3^{x+1}=3^5\)

\(x=5-1\)

\(x=4\)

e) \(2^x=4^{10}\)

\(2^x=\left(2^2\right)^{10}\)

\(\Rightarrow2^x=2^{20}\)

\(\Rightarrow x=20\)

a) x- 25%x= 1/2<=>x-1/4x=1/2<=>3/4x=1/2<=>x=1/2:3/4=2/3

b)\(\left(50\%x+2\frac{1}{4}\right).\frac{-2}{3}=\frac{17}{6}\Leftrightarrow-\frac{1}{3}x-\frac{3}{2}=\frac{17}{6}\Leftrightarrow x=-13\)

c)\(\left(3\frac{x}{7}+1\right):\left(-4\right)=\frac{-1}{28}\Leftrightarrow\frac{28+x}{7}:\left(-4\right)=\frac{-1}{28}\Leftrightarrow\frac{28+x}{-28}=\frac{1}{-28}\Leftrightarrow28+x=1\Leftrightarrow x=-27\)

d)\(\left(1\frac{1}{3}-25\%-\frac{5}{12}\right)-2x=1,6:\frac{3}{5}\Leftrightarrow\frac{2}{3}-2x=\frac{8}{3}\Leftrightarrow x=-1\)

a)x-25%x=1/2

x-1/4x=1/2

x.(1-1/4)=1/2

x.3/4=1/2

x=1/2:3/4

x=2/3