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What is the answer for question 2. a)? http://postimg.org/image/scirn1jtt/

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lkballer24 | Student, Grade 11 | (Level 1) Valedictorian

Posted May 12, 2013 at 12:04 PM via web

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What is the answer for question 2. a)?

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llltkl | College Teacher | (Level 3) Valedictorian

Posted May 12, 2013 at 12:47 PM (Answer #1)

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`3log_(5)a+4log_(5)b-2log_(5)c`     (given)

`=log_(5)a^3+log_(5)b^4-log_(5)c^2`    (`n log_(b)m=log_(b)m^n` )

`=log_(5)(a^3*b^4)-log_(5)c^2`     (`log_(b)m+log_(b)n=log_(b)mn` )

`=log_(5)((a^3b^4)/c^2)`       (`log_(b)m-log_(b)n=log_(b)m/n` )

Hence the required answer is `log_(5)((a^3b^4)/c^2)` .

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