Step-by-step explanation:
log 25 + log 25. log 75 + log 75
= log 5² + log (5²) . log (5². 3) + log (5².3)
= 2 log 5 + ( 2 log 5 ) . ( log 5² + log 3) + ( log 5² + log 3 )
= 2 log 5 + ( 2 log 5 ) . ( 2 log 5 + log 3) + 2 log 5 + log 3
= 4 log 5 + ( 2 log 5 ) ² + 2 log 5 . log 3 + log 3
= 4 log 5 + 4 ( log 5 )² + 2 log 5. log 3 + log 3
( log 3 = 0.4771 & log 5 = 0.6989 )
= 5. 8942
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Answers & Comments
Step-by-step explanation:
log 25 + log 25. log 75 + log 75
= log 5² + log (5²) . log (5². 3) + log (5².3)
= 2 log 5 + ( 2 log 5 ) . ( log 5² + log 3) + ( log 5² + log 3 )
= 2 log 5 + ( 2 log 5 ) . ( 2 log 5 + log 3) + 2 log 5 + log 3
= 4 log 5 + ( 2 log 5 ) ² + 2 log 5 . log 3 + log 3
= 4 log 5 + 4 ( log 5 )² + 2 log 5. log 3 + log 3
( log 3 = 0.4771 & log 5 = 0.6989 )
= 5. 8942