Question

5^x+5^x+2=650

Answer 1

\(5^x+5^{x+2}=650\)

\(5^x\left(1+5^2\right)=650\)

\(5^x\cdot26=650\)

\(5^x=650\text{ : }26\)

\(5^x=25\)

\(5^x=5^2\)

\(\Rightarrow\text{ }x=2\)

Answer 2

\(5^x+5^{x+2}=650\)

\(5^x\left(1+5^2\right)=650\)

\(5^x\cdot26=650\)

\(5^x=650\text{ : }26\)

\(5^x=25\)

\(5^x=5^2\)

\(\Rightarrow\text{ }x=2\)

Answer 3

5
x
+5
x+2
=650

5^x\left(1+5^2\right)=6505
x
(1+5
2
)=650

5^x\cdot26=6505
x
⋅26=650

5^x=650\text{ : }265
x
=650 : 26

5^x=255
x
=25

5^x=5^25
x
=5
2


\Rightarrow\text{ }x=2⇒ x=2