If(loga)/(b-c) = (logb)/(c-a) = (logc)/(a-b),then prove that a^(a)b^(b)c^(c)=1. | 10 | LOGARITH...

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If `(loga)/(b-c)=(logb)/(c-a)=(logc)/(a-b)`, then prove that `(a^a)(b^b)(c^c)=1`. If `(loga)/(b-c)=(logb)/(c-a)=(logc)/(a-b)`, then prove that `(a^a)(b^b)(c^c)=1`.
If log a /( b - c )= log b / (c - a) = log c /(a - b) prove that a^a b^b c^c = 1 If log a /( b - c )= log b / (c - a) = log c /(a - b) prove that a^a b^b c^c = 1
If (loga)/(b-c)=(logb)/(c-a)=(logc)/(a-b) then a^(a).b^(b).c^(c) = | CLASS 12 | LOGARITHMS AND ... If (loga)/(b-c)=(logb)/(c-a)=(logc)/(a-b) then a^(a).b^(b).c^(c) = | CLASS 12 | LOGARITHMS AND ...
if `c(a-b)=a(b-c)`then `{log(a+c)+log(a-2b+c)}/log(a+c)` is equal to if `c(a-b)=a(b-c)`then `{log(a+c)+log(a-2b+c)}/log(a+c)` is equal to
If log a/b-c=log b/c-a=log c/a-b, then prove that a^a b^b c =1. If log a/b-c=log b/c-a=log c/a-b, then prove that a^a b^b c =1.
log(AB)=logA+logB PROOF log(AB)=logA+logB PROOF
if log(a+b+c)=loga+logb+logc then prove that log(2a/1-a^2 +2b/1-b^2 +2c/1-c^2) = log 2a/1-a^2 +log 2 if log(a+b+c)=loga+logb+logc then prove that log(2a/1-a^2 +2b/1-b^2 +2c/1-c^2) = log 2a/1-a^2 +log 2
If 1/a + 1/c + 1/(a-b) + 1/(c-b) = 0, prove that a, b, c are in HP unless b = a + c. If 1/a + 1/c + 1/(a-b) + 1/(c-b) = 0, prove that a, b, c are in HP unless b = a + c.