`x^2 = x^5`
`=> x^5 - x^2 =0`
`=> x^2(x^3 -1)=0`
`=>` \(\left[ \begin{array}{l}x^2=0\\x^3-1=0\end{array} \right.\)
`=>` \(\left[ \begin{array}{l}x=0\\x^3=1\end{array} \right.\)
`=>` \(\left[ \begin{array}{l}x=0\\x=1\end{array} \right.\)
Vậy `x=3` hoặc `x=1`
b) `5^x + 5^(x+2)=650`
`=> 5^x + 5^x . 5^2 =650`
`=> 5^x .1 + 5^x . 25 =650`
`=> 5^x( 1+25) =650`
`=> 5^x . 26 = 650`
`=> 5^x= 25`
`=>5^x = 5^2`
`=> x=2`
Vậy `x=2`
c) `32^x . 16^x = 1024`
`=>(32.16)^x = 1024`
`=> 512^x = 1024`
`=> 512^x = (512)^(10/9)`
`=> x = 10/9`
Vậy `x= 10/9`