Question

# 7. *V* = (x)* then p & aare If p, q E N satisfy the equation (A) relatively prime (B) twin prime (C) Coprime nie defined then logpq is not defined vice versa

Solution

${x}^{\sqrt{x}}=x\frac{x}{2}\phantom{\rule{0ex}{0ex}}so,x=1or\sqrt{x}=\frac{x}{2}\phantom{\rule{0ex}{0ex}}=x=\frac{{x}^{2}}{4}\phantom{\rule{0ex}{0ex}}=x=4asx0\phantom{\rule{0ex}{0ex}}so,\mathrm{log}\frac{1}{4}isdefinedbut\mathrm{log}4isnot\to 0$