If `m,n,a gt0;a!=1; log_a (m/n)=log_a m-log_a n `

_m^( If );n;a>0;a!=1;log_(a)(mn)=log_(a)m+log_(a)n

If m;n;a>0;a!=1;log_(a)(m^(n))=n log_(a)m

log_(a)(mnp)=log_(a)m+log_(a)n+log_(a)p

If m;a;b>0;a!=1;b!=1; then log_(a)(m)=(log_(b)(m))/(log_(b)(a))

Assuming that log (mn) = log m + logn prove that log x^(n) = n log x, n in N

If (log_a N)/(log_c N)=(log_a N-log_b N)/(log_b N-log_c N) where N>0 and N!=1 a,b,c>0 and not equal to 1 , then prove that b^2=ac