Question

1, 8^x-3. 8³= 2⁵. 4⁵

2, 5^3.x-2. 125= 5⁴

Answer 1

a. \(8^{x-3}.8^3=2^5.4^5\)

\(\Rightarrow8^{x-3+3}=32.1024\)

\(\Rightarrow8^{x-3+3}=32768\)

\(\Rightarrow8^{x-3+3}=8^5\)

\(\Rightarrow x-3+3=5\)

\(\Rightarrow x=5+3-3\)

\(\Rightarrow x=5\)

Vậy...

b. \(5^{3.x-2}.125=5^4\)

\(\Rightarrow5^{3x-2}.5^3=5^4\)

\(\Rightarrow5^{3x-2}=5^4:5^3=5^1\)

\(\Rightarrow3x-2=1\)

\(\Rightarrow3x=1+2=3\)

\(\Rightarrow x=3:3=1\)

Vậy...

Answer 2

8^x-3.8³=2⁵.4⁵

(2³)^x-3.(2³)³=2⁵.(2²)⁵

2^3(x-3).2⁹=2⁵.2¹⁰

2^3x-3.3.2⁹=2¹⁵

2^3x-9=2¹⁵:2⁹

2^3x-9=2⁴

=>3x-9=4

3x=4+9

3x=15

x=15:3

x=5

Answer 3

1. 8^x-3.8³=32768

=> 8^x-3=64

=> x-3=2

=> x=5

Answer 4

x=1

Answer 5

1, 8^{x - 3}. 8³ = 2⁵ . 4⁵.

8^{x - 3}. 8³ = 8⁵

8^{x - 3} = 8⁵ : 8³

8^{x - 3} = 8²

<=> x - 3 = 2

x = 2 + 3

x = 5

2, 5^{3.x - 2} . 125 = 5⁴

5^{3.x - 2}. 5³ = 5⁴

5^{3.x - 2} = 5⁴ : 5³

5^{3.x - 2} = 5¹

<=> 3.x - 2 = 1

3.x = 1 + 2

3.x = 3

x = 3 : 3 = 1

Answer 6

2. 5^3.x-2.125=5⁴

=> 5^3.x-2=5

=> 3x-2= 1

=> x=1

Answer 7

5^3x-2.125=5⁴

5^3x-2.5³=5⁴

5^3x-2=5⁴:5³

5^3x-2=5

=>3x-2=1

3x=1+2

3x=3

x=3:3

x=1