Question

Simplify to the extent possible
(logx16)(log2x)

Answer 1

`{ \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}}`