Question

TÌM X

3^7x-11=135

5^x=5^2019:(5^2013-100.5^2010)

x^2016=x^2017

Answer 1

\(x^{2016}=x^{2017}\\ \Leftrightarrow x^{2016}-x^{2017}=0\\ \Leftrightarrow x^{2016}\left(1-x\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x^{2016}=0\\1-x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)

Vậy S = {0;1}

Answer 2

5^x=5^2019:(5^2013-100.5^2010)

=> 5^x=5²⁰¹⁹:(5²⁰¹⁰.(5³-100))

=>5^x=5²⁰¹⁹:(5²⁰¹⁰.(125-100))

=>5^x=5²⁰¹⁹:(5²⁰¹⁰.25)

=>5^x=5²⁰¹⁹:5²⁰¹²

^=>5^x=5⁷

=> x=7