The output of the logic circuit shown in figure will be

The given logic circuit consists of two NAND gates.

The output of the first NAND gate with inputs $A$ and $B$ is:
$Y = \overline{A \cdot B}$

This output $Y$ is connected to both inputs of the second NAND gate. A NAND gate with its inputs tied together acts as a NOT gate.

The final output $X$ is:
$X = \overline{Y \cdot Y} = \overline{Y}$

Substituting the value of $Y$:
$X = \overline{\overline{A \cdot B}} = A \cdot B$

Thus, the circuit acts as an AND gate.

Answer: $X = A.B$