plzzz ans......Indices.......Thnk you
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Hey there !!!!
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=log₅8/log₂₅16*log₁₀₀10
We know that logₐx=logx/loga
So,
=log8/log5*log16*log10/log25*log100
=log8*log25*log100/log5*log16*log10
2³=8 5²=25 10²=100 2⁴=16
So,
=log2³*log5²*log10²/log5*log2⁴*log10
=3log2*2log5*2log10/log5*4log2*log10
=3*2*2/4=12/4
=3
____________________________________________
Hope this helped you..............
_____________________________________________________
=log₅8/log₂₅16*log₁₀₀10
We know that logₐx=logx/loga
So,
=log8/log5*log16*log10/log25*log100
=log8*log25*log100/log5*log16*log10
2³=8 5²=25 10²=100 2⁴=16
So,
=log2³*log5²*log10²/log5*log2⁴*log10
=3log2*2log5*2log10/log5*4log2*log10
=3*2*2/4=12/4
=3
____________________________________________
Hope this helped you..............
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