1;Ta có\(5.3^x=5.3^4\)

\(\Rightarrow3^x=3^4\)

\(\Rightarrow x=4\)

2.Ta có \(9.5^x=6.5^6+3.5^6\)

\(\Rightarrow9.5^x=5^6.\left(6+3\right)\)

\(\Rightarrow9.5^x=9.5^6\)

\(\Rightarrow5^x=5^6\)\

\(\Rightarrow x=6\)

3, Ta có \(2.3^{x+2}+4.3^{x+1}=10.3^6\)

\(\Rightarrow3^{x+1}.\left(2.3+4\right)=10.3^6\)

\(\Rightarrow3^{x+1}.10=10.3^6\)

\(\Rightarrow3^{x+1}=3^6\)

\(\Rightarrow x+1=6\)

\(\Rightarrow x=5\)

a) 5.3^x = 5.3⁴

=> 3^x=3⁴

=> x=4

b) 9.5^x=6.5⁶+3.5⁶

=> 9.5^x = (6+3)5⁶

=> 9.5^x=9.5⁶

=> 5^x=5⁶

=> x=6

c) 2.3^x+2 + 4.3^x+1 = 10.3⁶

=> 2.3^x+1.3 + 4.3^x+1 = 10.3⁶ 

=> 6.3^x+1+4.3^x+1=10.3⁶

=> (6+4).3^x+1=10.3⁶

=> 10.3^x+1=10.3⁶

=> 3^x+1=3⁶

=> x+1=6

=> x=5

a: \(\dfrac{5^5}{5^x}=5^{18}\)

=>5-x=18

hay x=-13

b: \(\dfrac{2^{4-x}}{16^5}=32^6\)

\(\Leftrightarrow2^{4-x}=\left(2^5\right)^6\cdot\left(2^4\right)^5=2^{30+20}=2^{50}\)

=>4-x=50

hay x=-46

c: \(\dfrac{2^{2x-3}}{4^{10}}=8^3\cdot16^5\)

\(\Leftrightarrow2^{2x-3}=2^9\cdot2^{20}\cdot2^{20}=2^{49}\)

=>2x-3=49

=>2x=52

hay x=26

d: \(\dfrac{2^3}{2^x}=4^5\)

\(\Leftrightarrow2^{3-x}=2^{10}\)

=>3-x=10

hay x=-7

e: \(9\cdot5^x=6\cdot5^6+3\cdot5^6\)

\(\Leftrightarrow9\cdot5^x=9\cdot5^6\)

\(\Leftrightarrow5^x=5^6\)

hay x=6

f: \(7\cdot2^x=2^9+5\cdot2^8\)

\(\Leftrightarrow2^x\cdot7=2^8\cdot7\)

\(\Leftrightarrow2^x=2^8\)

hay x=8

Câu 1 : \(0,36\times630+0,6\times36\times6+3,6\)

\(=0,36\times10\times63+0,6\times6\times36+3,6\)

\(=3,6\times63+3,6\times36+3,6\)

\(=3,6\times\left(63+36+1\right)\)

\(=3,6\times100\)

\(=360\)

 Câu 2 :\(3,5\times20,2+6,5\times27,9+3,5\times2,2-6,5\times5,5\)

\(=3,5\times\left(20,2+2,2\right)+6,5\times\left(27,9-5,5\right)\)

\(=3,5\times22,4+6,5\times22,4\)

\(=22,4\times\left(3,5+6,5\right)\)

\(=22,4\times10\)

\(=224\)

Tìm số ự nhiên x biết.

a, 2^x=4^6.16³

2^x=(2²)².(2⁴)³

2^x=2⁴.2¹²

2^x=2¹⁶

=>x=16

Vậy x=16

học tốt

a, \(2^x=4^6\cdot16^3\)

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

\(2^x=2^{12}\cdot2^{12}\)

\(2^x=2^{24}\)

\(\Rightarrow\text{ }x=24\)

\(b,\text{ }\frac{2^{x-3}}{4^{10}}=8^3\)

\(\Rightarrow\text{ }\frac{2^{x-3}}{\left(2^2\right)^{10}}=\left(2^3\right)^3\)

\(\frac{2^{x-3}}{2^{20}}=2^9\)

\(\Rightarrow\text{ }2^{x-3}=2^{20}\cdot2^9\)

\(2^{x-3}=2^{29}\)

\(\Rightarrow\text{ }x-3=29\)

\(x=29+3\)

\(x=32\)

5.3^x=5.3⁴

<=> 3^x=3⁴( chia cả hai vế cho 5)

<=> x=4

Câu thứ hai viết lại đề

7.3^x=5.3⁷+2.3⁷

<=> 7.3^x=3⁷.(5+2)

<=> 7.3^x=3⁷.7

<=> 3^x=3⁷(chia cả hai vế cho 7)

<=> x=7

x * 6,5  = 20 - 3,5 

x * 6,5 = 16 ,5 

x = 16 ,5 : 6,5 

x = 2 ,538461...

k nha

X = 2 nhé

6.5 + 3.5 = 10

20 : 10 = 2

X x 6,5 + 3,5 = 20

X x 6,5 = 16,5

X = 16,5 : 6,5

X = 2,5384....