Question

\(27< 3^{x-2}< 243\) tim x

giup mk

Answer 1

\(27< 3^{x-2}< 243\)

\(\Rightarrow3^3< 3^{x-2}< 3^5\)

\(\Rightarrow3^{x-2}=3^4\)

\(\Rightarrow x-2=4\)

\(\Rightarrow x=4+2=6\)

Vậy...

Answer 2

Ta có : 27 < 3^{x - 2} < 243

\(\Rightarrow\) 3³ < 3^{x - 2} < 3⁵

\(\Rightarrow\) 3^{x - 2} = 3⁴

\(\Rightarrow\) x - 2 = 4

x = 4 + 2

x = 6