6^x=4 2 x^+1-3^x+2 ( ka4tir? )

The given equation 6=4 is incorrect. The correct equation should be 6=6, as both sides are equal.<br /><br />For the second part of the question, we need to simplify the expression $\frac {1}{2\times }+\frac {1}{3}+\frac {1}{2}$.<br /><br />To do this, we first need to find a common denominator for the fractions. The least common multiple of 2, 3, and 2 is 6. So, we rewrite the expression with the common denominator:<br /><br />$\frac {1}{2\times }+\frac {1}{3}+\frac {1}{2} = \frac {3}{6}+\frac {2}{6}+\frac {3}{6}$<br /><br />Now, we can add the fractions:<br /><br />$\frac {3}{6}+\frac {2}{6}+\frac {3}{6} = \frac {8}{6}$<br /><br />Finally, we simplify the fraction:<br /><br />$\frac {8}{6} = \frac {4}{3}$<br /><br />Therefore, the simplified expression is $\frac {4}{3}$.