Question Number 104835 by bemath last updated on 24/Jul/20

 { ((log _p (q) = x^2 )),((log _q (p^3 ) = x )) :}  find x

Answered by john santu last updated on 24/Jul/20

 { ((q = p^x^2  →q^x  = (p^x^2  )^x )),((p^3  = q^x → p^3  = p^(x.x^2 ) )) :}  ⇒ x^3  = 3 ; x = (3)^(1/3)    (JS ⊛)

Answered by Dwaipayan Shikari last updated on 24/Jul/20

log_p (q)=x^2   3log_q (p)=x  3log_q p.log_p q=x^3   3=x^3   x=(3)^(1/3)