log₃8 x log₂49 x log7 27=?

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log₃8 x log₂49 x log7 27=?

log₃8 x log₂49 x log7 27=?
log₃8 x log₂49 x log7 27=?

log₃8 x log₂49 x log7 27=?
log₃8 x log₂49 x log7 27
=lg8/lg3xlg49/lg2xlg27/lg7
=3lg2/lg3x2lg7/lg2x3lg3/lg7
=3x2x3
=18

原式=lg8/lg3×lg49/lg2×lg27/lg7
=3lg2/lg3×2lg7/lg2×3lg3/lg7
约分
=3×2×3
=18