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Simplify to the extent possible (logx16)(log2x)
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36 votes
36 votes
Simplify to the extent possible
(logx16)(log2x)

User Bernard Vander Beken
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1 Answer

11 votes
11 votes

Answer:


{ \tt{ = ( log_(x)16)( log_(2)x) }}

Change base x to base 2:


{ \tt{ = (( log_(2)16)/( log_(2)x ) )( log_(2)x)}} \\ \\ { \tt{ = log_(2)(16) }} \\ = { \tt{ log_(2)(2) }} {}^(4) \\ = { \tt{4 log_(2)(2) }} \\ = { \tt{4}}

User Shumana Chowdhury
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