If `("log"a)/(b-c) = ("log"b)/(c-a) = ("log"c)/(a-b), "then" a^(a)b^(b)c^(c) =`

If ("log"a)/(3) = ("log"b)/(4) = ("log"c)/(5) , then ca equals

Let (log a)/( b-c) = (logb)/(c-a) = (log c)/(a-b) STATEMENT 1: a^(a) b^(b) c^(c) = 1 STATEMENT 2: a^(b+c) b^(c +a) c^(a + b) = 1

"If" ("log"_(10)a)/(2) = ("log"_(10)b)/(3) = ("log"_(10)c)/(5) , then bc =

("log"_(2)a)/(3) = ("log"_(2)b)/(4) = ("log"_(2)c)/(5lambda) " and " a^(-3) b^(-4) c = 1 " then " lambda =

If (logx)/(2a+3b-5c)=(log y)/(2b+3c-5a)=(log z)/(2c=3a-5b') then xyz=

If log(a+c)+log(a+c-2b)=2log(a-c) then

The value of "log"_(b)a xx "log"_(c) b xx "log"_(a)c , is

If g(x)=(f(x))/((x-a)(x-b)(x-c)),w h e r ef(x) is a polynomial of degree <3 , then intg(x)dx=|1af(a)log|x-a|1bf(b)log|x-b|1cf(c)log|x-c||-:|1a a^2 1 bb^2 1 cc^2|+k (dg(x))/(dx)=|1af(a)log""(x-a)^2 1bf(b)"log"(x-b)^2 1cf(c)"log"(x-b)^2|-:|a^2a1b^2b1c^2c1| (dg(x))/(dx)=|1af(a)log""(x-a)^(-2)1bf(b)"log"(x-b)^(-2)1cf(c)"log"(x-b)^(-2)|-:|1a a^2 1bb^2 1cc^2| intg(x)dx=|1af(a)"log"|x-a|1bf(b)"log"|x-b|1cf(c)"log"|x-c||-:|a^2a1b^2b1c^2c1|+k

If (1)/(log_(a)x) + (1)/(log_(b)x) = (2)/(log_(c)x) , prove that : c^(2) = ab .

If a = "log"2, b = "log" 3, c ="log" 7 " and " 6^(x) = 7^(x+4) then x=