Prove that: `log_a x=log_bx xx log_c b xx…xx log_n m xx log_a n`

Prove that: log_ax xxlog_by=log_bx xxlog_ay

Prove that: (log_a(log_ba))/(log_b(log_ab))=-log_ab

Prove that: log sin 8x = 3 log2+log sin x+ log cos 2x+log cos 4x

Prove that : log _ y^(x) . log _z^(y) . log _a^(z) = log _a ^(x)

Evaluate : (i) log_(b)a xx log_(c)b xx log_(a)c (ii) log_(3) 8 div log_(9) 16 (iii) (log_(5)8)/(log_(25)16 xx log_(100)10)

Prove that ((log)_a N)/((log)_(a b)N)=1+(log)_a b

If log_a x, log_b x, log_c x are in A.P then c^2=

Prove that asqrt(log_a b)-bsqrt(log_b a)=0

Let agt0,cgt0,b=sqrtac,a,c and acne1,Ngt0 . Prove that log_aN/log_cN=(log_aN-log_bN)/(log_bN-log_cN)

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