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2009-12-10T22:46:38+01:00
A) log6 18+ log6 2³ - log6 4=
log6(18*8)-log6 4= log6(144) - log6 4
log6(144/4)=log6 36
log6 36=x
6^x=36
x=2
b)[log5 6 -3(log5 6)] / log5 6=
log5 6 - log5 216=
[log5 (1/36)] / log5 6= log6 36
log6 (1/36) = x
6^x= 1/36
6^x=6^-2
x= -2
c)[log3 16 - log3 1728] / [log3 27 +log3 4] =
log3 (1/108) / log3 108 = log108 (1/108)
log108 (1/108) = x
108^x = 1/108
108^x=108^-1
x=-1
1 4 1