Question

Log以3为底27分之1为真数＋7倍的log以3为底根号3为真数＋log以2为底根号48分之1为真数＋log以2为底12为...

Log以3为底27分之1为真数＋7倍的log以3为底根号3为真数＋log以2为底根号48分之1为真数＋log以2为底12为真数－2分之1倍的log以2为底42为真数 （化简）

Answer 1

log以3为底根号3为真数+log以2为底21倍根号3为真数+1

Answer 2

=log3(3^-3)+7log3(3^1/2)+log2[√(1/48)×12]-log2(√42)
=-3log3(3)+7/2*log3(3)+log2[√(1/48)×12÷√42]
=-3+7/2+log2[√(144/48×42)]
=-3+7/2+log2[√(1/14)]
=1/2-1/2*log2(14)

Answer 3

=log3(3^-3)+7log3(3^1/2)+log2[√(1/48)]+log2(12)-1/2[log2(42)]
=-3log3(3)+7/2*log3(3)+log2[√(1/48)×12÷√42]
=-3+7/2+log2[√(144/48×42)]
=-3+7/2+log2[√(1/4)]
=1/2+log2(1/2)
=1/2-1
=-1/2