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If log2 5=x and log2 3=y, determine log2 7.5

Sagot :

Answer:

x + y -1

Explanation:

Given the following

[tex]\log _25=xandlog_23\text{ = y}[/tex]

log2 7.5

= log2 (15/2)

= log2(5*3) - log2 2

= log2 5 + log2 3 - log2 2

Note that log2 2 = 1

Substitute the given values

= x + y -1

Hence the required solution is x + y -1

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