Question

log4(底数)8（真数）—log9分之1（底数）3（真数）等于多少

Answer 1

=3/2+1/2=2

1、log4 8=log2² 2³=3/2 log1/9 3=log3^(-2) 3=-1/2

2、换底公式 log4 8=lg8/lg4 =3lg2/(2lg2)=3/2

log1/9 3=lg3/log1/9=lg3/(-2lg3)=-1/2