log以4为底3×log以9为底2+log以2为底^4√64 求值log以9为底32×log以64为底27+log以9为底2×log以4为底√27 求值

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/02 08:38:34
log以4为底3×log以9为底2+log以2为底^4√64 求值log以9为底32×log以64为底27+log以9为底2×log以4为底√27 求值

log以4为底3×log以9为底2+log以2为底^4√64 求值log以9为底32×log以64为底27+log以9为底2×log以4为底√27 求值
log以4为底3×log以9为底2+log以2为底^4√64 求值
log以9为底32×log以64为底27+log以9为底2×log以4为底√27 求值

log以4为底3×log以9为底2+log以2为底^4√64 求值log以9为底32×log以64为底27+log以9为底2×log以4为底√27 求值
log以9为底32×log以64为底27+log以9为底2×log以4为底√27
=lg32/lg9×lg27/lg64+lg2/lg27×lg√27/lg4
=5/2lg2/lg3×3/6lg3/lg2+1/3lg2/lg3×3/4lg3/lg2
=5/2x3/6+1/3x3/4
=5/4+1/4
=1.5