Question

a)16^x=2^100;

b)5^x=125

Answer 1

a) Ta có : 16^x = 2¹⁰⁰

=> (2⁴)^x = 2¹⁰⁰

=> 2^4x = 2¹⁰⁰

=> 4x = 100

=> x = 25

b) 5^x = 125

=> 5^x = 5³

=> x = 3

Answer 2

Bg

a)16^x = 2¹⁰⁰ 

 (2⁴)^x = 2¹⁰⁰ 

  2^4.x = 2¹⁰⁰  (100 =4.25)

  2^4.x = 2^4.25 

      x = 25

b) 5^x = 125

    5^x = 5³ 

    x   = 3

Answer 3

\(a,16^x=2^{100}\)

\(\Rightarrow2^{4x}=2^{100}\)

\(\Leftrightarrow4x=100\)

\(\Leftrightarrow x=100:4\)

\(\Leftrightarrow x=25\)

Vậy \(x=25\)

\(b.5^x=125\)

\(\Rightarrow5^x=5^3\)

\(\Rightarrow x=3\)

Học tốt

Answer 4

2^4x=2^100

4x=100

x=100:4

x=25

vậy x=25

5^x=5^3

x=3

vậy x=3

Answer 5

Trả lời:

a, \(16^x=2^{100}\)

\(\Leftrightarrow\left(2^4\right)^x=2^{100}\)

\(\Leftrightarrow2^{4x}=2^{100}\)

\(\Leftrightarrow4x=100\)

\(\Leftrightarrow x=25\)

Vậy \(x=25\)

b, \(5^x=125\)

\(\Leftrightarrow5^x=5^3\)

\(\Leftrightarrow x=3\)

Vậy \(x=3\)