`log_(a)((P)/(Q))=log_(a)P-log_(a)Q`

Q.If log_(x)a,a^((x)/(2)) and log_(b)x are in G.P.then x is equal to (1)log_(a)(log_(b)a)(2)log_(a)(log_(e)a)+log_(a)log_(b)b(3)-log_(a)(log_(a)b)(4) none of these

log_(a)(mnp)=log_(a)m+log_(a)n+log_(a)p

10^(log_(p)(log_(q)(log_(r)x)))=1 and log_(q)(log_(r)(log_(p)x))=0 then p equals to:

10^(log_(p)(log_(q)(log_(r)(x))))=1 and log_(q)(log_(r)(log_(p)(x)))=0 then 'p' equals

If log_(a^(q))(n^(p))=(p)/(q)log_(a)n where a;n>0;a!=1

If log_(4).(x^(4))/(4)+3log_(4) 4x^(4) = p + q log_(4) x , then the value of log_(p)(q) is ______.

If P =3^sqrt(log_(3)2)-2^(sqrt(log_(2)3))and Q=log_(2)log_(3)log_(2)log _(sqrt(3))81, then

The expression ((log_((a)/(b))p)^(2)+(log_((b)/(c))p)^(2)+(log_((a)/(a))p)^(2))/(((log_((a)/(b))p+log_((b)/(c))p+log_((c)/(a))p))^(2)) wherever defined,simplifies to

Q.Evaluate the determinant Delta=|(log_(3)512log_(4)3),log_(3)8log_(4)9)|

The value of x, satisfiying log_(a)(1+log_(b){1+log_(c)(1+log_(p)x)})=0 is