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The expression ((logR((a)/b)^(3))+(log(R...

The expression `((logR((a)/b)^(3))+(log_(R)((b)/(c)))^(3)+(log _(R)((c)/(a)))^(3))/((log_(R)((a)/(b)))(log_(R)((b)/(c)))(log_(R)((c)/(a))))(a,b,cRgt0andRne1)` wherever defined, simplifies to

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The expression ((log_R((a)/b))^(3)+(log_(R)((b)/(c)))^(3)+(log _(R)((c)/(a)))^(3))/((log_(R)((a)/(b)))(log_(R)((b)/(c)))(log_(R)((c)/(a))))(a,b,c,Rgt0andRne1) wherever defined, simplifies to

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

log_(b)(a^((1)/(2)))*log_(c)b^(3)*log_(a)(c^((2)/(3))) is equal to

(1)/(1+log_(b)a+log_(b)c)+(1)/(1+log_(c)a+log_(c)b)+(1)/(1+log_(a)b+log_(a)c)

If (log_(2)a)/(2)=(log_(3)b)/(3)=(log_(4)c)/(4) and a^((1)/(2))b^((1)/(3))c^((1)/(4))=24 then

( Prove that )/(1+log_(b)a+log_(b)c)+(1)/(1+log_(c)a+log_(c)b)+(1)/(1+log_(a)b+log_(a)c)=1

If a,b,c are in G.P. then show that :sum{log_(a)((b)/(c))}^(-1)=-3{log_(b)((c)/(a))}^(-1)

(1)/(1+log_(b)a+log_(b)c)+(1)/(1+log_(c)a+log_(c)b)+(1)/(1+log_(a)b+log_(a)c) has the value equal to

If log_(n)m=(1)/(a):log_(+-)=(1)/(b);log_(r)m=(1)/(c), then the value of log _(npr)m is