Question

TÌM X:

a)5^x+3+5^x+1-5^x=645

b)9.27 bứ hơn hoặc bằng 3^x bé hơn hoặc bằng 243

Answer 1

a) \(5^{x+3}+5^{x+1}-5^x=645\)

\(\Rightarrow5^x.5^3+5^x.5-5^x=645\)

\(\Rightarrow5^x.\left(5^3+5-1\right)=645\)

\(\Rightarrow5^x.129=645\)

\(\Rightarrow5^x=5\)

\(\Rightarrow x=1\)

Vậy \(x=1\)

b) \(9.27\ge3^x\ge243\)

\(\Rightarrow3^2.3^3\ge3^x\ge3^5\)

\(\Rightarrow3^5\ge3^x\ge3^5\)

\(\Rightarrow5\ge x\ge5\)

\(\Rightarrow x=5\)

Vậy \(x=5\)