Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find the value of
(i)(log 10 5)(log 10 20) + (log 10 2) 2 (ii) 
(iii)log 0.75 log 2 
(iv) 
(v) 
+ 
(vi) 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i)1 (ii) 2 (iii)1
(iv)–72 (v)7 + 
(vi)0
Sol. (i) log 10 5 (log 10 5 + 2log 10 2) + (log 10 2) 2 = (log 10 5 + log 10 2) 2 = (log 10 10) 2 = 1
(ii) 
= (7 + 1) 1/3 = 2
(iii) log 3/4 log 2 
= log 3/4 log 2 (2) 3/4 = 1
(iv) 
= 2 2 + 7 2 – 5 3 = 53 – 125 = – 72
(v) 
= 
= 
= 
= 
& 
= 
= 7
∴ 7 + 
(vi) 
+ 
– 
– 
= 
+ 
– 
– 
{using property 
= 
} = 0
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