Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
Find the value of
x
x
x
satisfying the equation
(
log
3
3
x
3
+
log
x
3
x
3
)
⋅
log
3
x
3
+
(
log
3
x
3
3
+
log
x
3
x
3
)
log
3
x
3
=
2.
\sqrt{(\log_3 \sqrt[3]{3x} + \log_x \sqrt[3]{3x}) \cdot \log_3 x^3} + \sqrt{\left( \log_3 \sqrt[3]{\frac{x}{3}} + \log_x \sqrt[3]{\frac{3}{x}} \right) \log_3 x^3} = 2.
(
lo
g
3
3
3
x
+
lo
g
x
3
3
x
)
⋅
lo
g
3
x
3
+
(
lo
g
3
3
3
x
+
lo
g
x
3
x
3
)
lo
g
3
x
3
=
2.
Browse the problem library