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Question
If x = log 0.6; y = log 1.25 and z = log 3 - 2 log 2, find the values of :
(i) x+y- z
(ii) 5x + y - z
Solution
Given that
x = log 0.6 , y = log 1.25, z = log 3 - 2log 2
Consider
z = log 3 - 2log 2
= log 3 - log 22
= log 3 - log 4
= log`3/4`
= log 0.75 ....(1)
(i) x + y - z = log 0.6 + log 1.25 - log 0.75
= log`[ 0.6 xx 1.25 ]/0.75`
= log`[0.75/0.75]`
= log 1
= 0 ...(2)
(ii) 5x + y - z = 50 ...[ ∵ x + y - z = 0 from (2) ]
= 1
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