Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
The number of real solutions of the equation
2
x
/
2
+
(
2
+
1
)
x
=
(
3
+
2
2
)
x
/
2
2^{x/2} + (\sqrt{2} + 1)^x = (3 + 2\sqrt{2})^{x/2}
2
x
/2
+
(
2
+
1
)
x
=
(
3
+
2
2
)
x
/2
is a. one b. two c. four d. infinite
Browse the problem library