Question

[13.3^x-2-3^x]:2=162

Answer 1

(13.3^x-2-3^x):2=162

<=>3^x-2(13-3²)=162.2

<=>3^x-2.4=324

<=>3^x-2=324:4

<=>3^x-2=81=3⁴

<=>x-2=4

<=>x=6

Vậy...

Answer 2

Ta có: \(\left(13.3^{x-2}-3^x\right)\div2=162\)

\(\Leftrightarrow13.3^{x-2}-3^{x-2+2}=162.2\)

\(\Leftrightarrow13.3^{x-2}-3^2.3^{x-2}=324\)

\(\Leftrightarrow\left(13-9\right).3^{x-2}=324\)

\(\Leftrightarrow4.3^{x-2}=324\)

\(\Leftrightarrow3^{x-2}=\dfrac{324}{4}=81=3^4\)

\(\Leftrightarrow3^{x-2}=3^4\Leftrightarrow x-2=4\Leftrightarrow x=6\)

Vậy \(x=6\)