Question

[Trịnh Yến Chi]

5x+5x+2=3125

Answer 1

[TFBOYS]

5^x+5^x+2=3125 
<=> 5^x+5^x.5²= 3125
<=> 5^x ( 1+5²)= 3125
<=> 5^x  = 3125/26 <=> x = 2, 975630801

Answer 2

[Vương Chí Thanh]

Ta có:

\(5^x+5^{x+2}=3125\)

\(\Leftrightarrow5^x+5^x\cdot5^2=3125\)

\(\Leftrightarrow5^x\left(1+25\right)=3125\)

\(\Leftrightarrow5^x=\frac{3125}{26}\)

\(\Leftrightarrow5^x\approx5^{2,975630801}\)

\(\Leftrightarrow x\approx2,975630801\)