Question

3^x-1+ 5 * 3^x-1=162

làm nhanh hộ mình với !

Answer 1

Ta có : 

\(3^{x-1}+5.3^{x-1}=162\)

\(\Leftrightarrow\)\(3^{x-1}\left(1+5\right)=162\)

\(\Leftrightarrow\)\(3^{x-1}.6=162\)

\(\Leftrightarrow\)\(3^{x-1}=\frac{162}{6}\)

\(\Leftrightarrow\)\(3^{x-1}=27\)

\(\Leftrightarrow\)\(3^{x-1}=3^3\)

\(\Leftrightarrow\)\(x-1=3\)

\(\Leftrightarrow\)\(x=3+1\)

\(\Leftrightarrow\)\(x=4\)

Vậy \(x=4\)

Chúc bạn học tốt ~ 

Answer 2

3^x-1. (5 + 1) = 162

3^x-1. 6 = 162

3^x-1 = 27

3^x-1 = 3³

x - 1 = 3

=> x = 4

Answer 3

3^x-1+ 5 . 3^x-1=162

<=> 3^x-1 . (1 + 5)=162

<=> 3^x-1 . 6=162

<=> 3^x-1 = 27

<=> 3^x-1 = 3³

<=> x - 1 = 3

<=> x = 4

Vậy x = 4

nha

Answer 4

\(3^{x-1}+5.3^{x-1}=162\)

\(\Leftrightarrow3^{x-1}\left(1+5\right)=162\)

\(\Leftrightarrow3^x:3.6=162\)

\(\Rightarrow3^x:3=162:6=27\)

\(\Rightarrow3^x=27.3=81\)

Vì :\(81=3^4\)

\(\Rightarrow x=4\)