✨ Best Answer ✨
⑴log₆12+log₆18=log₆(12•18)=log₆6³=3
⑵2log₃6-log₃12
=log₃6²-log₃12=log₃(36÷12)=log₃3=1
⑶log₄4/9+2log₄6=log₄4/9+log₄6²
=log₄(4/9•36)=log₄4²=2
⑷1/2log₅10-log₅√2=log₅10^(¹/₂)-log₅√2
=log₅(√10÷√2)=log₅5^(¹/₂)=1/2
✨ Best Answer ✨
⑴log₆12+log₆18=log₆(12•18)=log₆6³=3
⑵2log₃6-log₃12
=log₃6²-log₃12=log₃(36÷12)=log₃3=1
⑶log₄4/9+2log₄6=log₄4/9+log₄6²
=log₄(4/9•36)=log₄4²=2
⑷1/2log₅10-log₅√2=log₅10^(¹/₂)-log₅√2
=log₅(√10÷√2)=log₅5^(¹/₂)=1/2
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