In a right-angled triangle, a and b are the lengths of sides and c is the length of hypotenuse such that `c-b ne1,c+b ne 1`. Show that
`"log"_(c+b)a+"log"_(c-b)a=2"log"_(c+b)a."log_(c-b)a`

Show that log_(b)a xx log_(c )b xx log_(d)c = log_(d)a .

Prove that log_(a)bxxlog_(b)cxxlog_(c )a=1

Show that (1)/(log_(a)bc+1)+(1)/(log_(b)ca+1)+(1)/(log_(c )ab+1)=1

Prove that log_(b^3)a xx log_(c^3)b xx log_(a^3)c = 1/27

Find the values : (log_(a)b)xx(log_(b)c)xx(log_(c )d)xx(log_(d)a)

If three positive real number a,b and c are in G.P show that log a , log b and log c are in A.P

In triangle A B C ,a , b , c are the lengths of its sides and A , B ,C are the angles of triangle A B Cdot The correct relation is given by (a) (b-c)sin((B-C)/2)=acosA/2 (b) (b-c)cos(A/2)=asin((B-C)/2) (c) (b+c)sin((B+C)/2)=acosA/2 (d) (b-c)cos(A/2)=2asin(B+C)/2

Select the correct answer (MCQ) : (ii) log_(b)a xx log_(c ) b xx log_(a)c =

Find the value of x satisfying "log"_a(1+"log"_b{1+"log"_c(1+"log"_px)})=0

If a, b and c represent the lengths of sides of a triangle then the possible integeral value of (a)/(b+c) + (b)/(c+a) + (c)/(a +b) is _____