Question

Log25+2log3-3log2=log225/8

Answer 1

Hi ,

LHS = log 25 + 2 log 3 - 3 log 2

= log 25 + log 3² - log 2³

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By logarithmic rules :

1 ) n log a = log aⁿ

2 ) log a + log b = log ab

3 ) log a - log b = log ( a/b )

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= log 25 + log 9 - log 8

= log ( 25 × 9 ) - log 8

= log 225 - log 8

= log ( 225 / 8 )

= RHS

I hope this helps you.

: )

Answer 2

ALL ARE IN SAME BASE,


log25 + 2log3 - 3log2

=> log25 + log3² - log2³

=> log25 + log9 - log 8

=> log(25×9) - log8

=> log225 - log8

=> log(225/8)


Hence,RHS = LHS