Question

prove that log a^m=m log a by using logarithm formulas or by some other method...?

Answer 1

ok hey buddy here is your answer by UDIT

to prove

log(a^m)=m log(a)

ok taking LHS

we know that log(a×b) =loga+logb........(1)

so log (a^m) = loga×a×a×a.......m terms

=loga+loga+loga+loga...m terms (from 1)

= m loga

hence proved