Question

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

Answer 1

x + y -1

Step-by-step explanation:

Given the following

`\log _25=xandlog_23\text{ = y}`

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