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)

问题描述:

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)

=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

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

=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)