|2log1/2x-3|=-log1/2x equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
For every modulo expressions in the equation
allow cases, when this expressions ">=0" or "<0",
solve the resulting equation.
1.
or
$$-\infty < x \wedge x < \infty$$
we get the equation
$$3 = 0$$
after simplifying we get
incorrect
the solution in this interval:
The final answer:
This equation has no roots
This equation has no roots