Question

Jika 5log 3=m dan 3log7 =n nyatakan 21 log 945 dalam m dan n

Answer 1

³log 7 = n
^5log 3 = m
³log 5 = 1/m

^21log 945
=³log 945 / ³log 21
=(³log 3³×5×7 ) /( ³log 3×7 )
=(3 ³log 3 + ³log 5 + ³log 7)/(³log 3 + ³log 7)
=(3+1/m+n) / ( 1+n )
=[(3m+1+nm)/m] / (1+n)
=(3m+1+nm) / m(1+n)
=(3m+1+mn)/(m+mn)