Question

Evaluate each of the following in terms of x and y,if it is given that x=log2 3and y=log2 5

i)log
[tex]log2 7.5
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Answer 1

Answer:

= log_{2} 75 / 10log275/10

= log_{2} 75log275 - log_{2} 10log210

= log_{2} 25 * 3log225∗3   - log_{2} 5 * 2log25∗2

= [ log_{2}5²log25² + log_{2}3log23 ] - [ log_{2} 5log25 + log_{2} 2log22 ]

=2  log_{2} 5log25 +  log_{2}3log23 -  log_{2} 5log25 - 1

=  log_{2} 5log25 -  log_{2} 3log23 - 1

= y - x - 1 answer 

Hope it's helpful