Question

\(3^{x+2}-3^x=24\)

Answer 1

3^x * 3^2-3^x * 1=24

3^x(9-1) = 24

3^x * 8 = 24

3^x = 24/8

3^x = 3

⇒ x = 1

Vậy x = 1

Answer 2

\(3^{x+2}-3^x=24\)

\(\Rightarrow3^x.3^2-3^x=24\)

\(\Rightarrow3^x.3^2-3^x.1=24\)

\(\Rightarrow3^x\left(3^2-1\right)=24\)

\(\Rightarrow3^x.8=24\)

\(\Rightarrow3^x=3\)

\(\Rightarrow x=1\)

Answer 3

3^x. 3² − 3^x = 24

3^x. ( 3² − 1) = 24

3^x . 8 = 24

3^x = 24 : 8

3^x = 3 -> 3¹ = 3

=> x = 1.

Answer 4

\(x^{x+2}-3x=24\)

\(\Rightarrow3^x.3^2-3x=24\)

\(\Rightarrow3^x\left(3^2-1\right)=24\)

\(\Rightarrow3^x.8=24\)

\(\Rightarrow3^x=\dfrac{24}{8}=3\)

\(\Rightarrow x=1\)