2^x+1 - 2^x    = 32
2^x.2 - 2^x.1 = 32
2^x.(2-1)     = 32
2^x.1           = 32
2^x              = 32
2^x              = 2⁵
  x             = 5
Vậy x = 5

À khoan, sửa lại đã, sai số rồi =)))

a)(6x+72):2=60

   6x+72=120

   6x=48

   x=8

b)Để 145x chia hết cho 3 => 1+4+5+x chia hết cho 3

=>x=2;5;8

c)=>(x+8)-(x+1) chia hết cho x+1

   =>7 chia hết cho x +1

   =>x=6;0

(x-5)³=8

(x-5)³=2³

x-5=2(vì số mũ 3>0)

x=7

\(a.2^x=32\Leftrightarrow2^x=2^5\Leftrightarrow x=5\)

\(b.\left(x-5\right)^3=8\Leftrightarrow\left(x-5\right)^3=2^3\Leftrightarrow x-5=2\Leftrightarrow x=7\)

\(c.5^{x+1}=25\Leftrightarrow5^{x+1}=5^2\Leftrightarrow x+1=2\Leftrightarrow x=1\)

\(d.3\cdot\left(6x+3\right)=3^5\)

\(\Leftrightarrow6x+3=3^4\)

\(\Leftrightarrow6x=3^4-3=81-3=78\)

\(\Leftrightarrow x=78:613\)

Câu 1:

a)\(6\dfrac{5}{8}-4\dfrac{1}{2}=\left(6+\dfrac{5}{8}\right)-\left(4+\dfrac{1}{2}\right)\\ =6+\dfrac{5}{8}-4-\dfrac{1}{2}\\ =\left(6-4\right)+\left(\dfrac{5}{8}-\dfrac{1}{2}\right)\\ =2+\dfrac{1}{8}\\ =2\dfrac{1}{8}\)

b) \(-2.013+1.01=-1.003\)

Câu 2:

\(\dfrac{2}{3}x+\dfrac{1}{2}=\dfrac{1}{10}\\ \dfrac{2}{3}x=\dfrac{1}{10}-\dfrac{1}{2}\\ \dfrac{2}{3}x=-\dfrac{2}{5}\\ x=-\dfrac{2}{5}:\dfrac{2}{3}\\ x=-\dfrac{2}{5}.\dfrac{3}{2}\\ x=-\dfrac{3}{5}\\ x=-0.6\)

Vậy x=-0.6

Câu 1

a) \(-\dfrac{23}{3}=-7\dfrac{2}{3}\)

b)\(123.45=12345\%\)

Mình nghĩ vậy

a)\(280-\left(x-140\right):35=270\)

\(\Leftrightarrow\left(x-140\right):35=10\)

\(\Leftrightarrow x-140=350\)

\(\Leftrightarrow x=490\)

b) \(\left(190-2x\right):35-32=16\)

\(\Leftrightarrow\left(190-2x\right):35=48\)

\(\Leftrightarrow190-2x=1680\)

\(\Leftrightarrow2x=-1490\Leftrightarrow x=-745\)

c) \(720:\left[41-\left(2x-5\right)\right]=2^3.5\)

\(\Leftrightarrow720:\left[41-\left(2x-5\right)\right]=40\)

\(\Leftrightarrow41-\left(2x-5\right)=18\)

\(\Leftrightarrow2x-5=23\)

\(\Leftrightarrow2x=28\Leftrightarrow x=14\)

280-(x-140):35=270

(x-140):35=280-270

(x-140):35=10

(x-140)=10×35

(x-140)=350

x=350-140

x=210

vậy x=210

(192-2x):35-32=16

(192-2x):35=16+32

(192-2x):35=48

(192-2x)=48×35

(192-2x)=1680

2x=192-1680

2x=-1488

x=-1488:2

x=-744

vậy x=-744

(x+1)⁵=32                     (2x-15)⁵=(2x-15)³                       x¹⁰=1^x                      x¹⁰=x

=>(x+1)⁵=2⁵               =>(2x-15)⁵-(2x-5)³=0              x¹⁰=1¹⁰                 x¹⁰-x=0

=>x+1=2                    =>đang nghĩ                         =>x=1                x.(x⁹-1)=0

=>x=1                                                               Vậy x=1                =>x=0

Vậy x=1

x=1

x=1

x=0

2^x+1 - 2^x = 32

2^x. 2 - 2^x = 32

2^x. (2-1) = 32

2^x = 32

x = 5