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Question 7 Write the expression in expanded form. 81n x + In y O4 Inx + Iny Question 8 Write
the expression in condensed form. logax + 4 loga y-3 loga x ) logax Question 9
Solution
ln (x8y)1/2=(1/2 )(ln x8y)
=(1/2)[ln x8+lny]
=(1/2)×8 (lnx)+ (1/2)lny
= 4 ln x+(1/2)ln y
(1/2)logax+4 logay-3logax
loga (x)1/2+logay4-logax3
= loga (x1/2y4)-logax3
= loga (x1/2-3y4)
= logax-5/2y4
=loga (y4/x5/2)

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Question 7 Write the expression in expanded form. 81n x + In y O4 Inx.pdf

  • 1. Question 7 Write the expression in expanded form. 81n x + In y O4 Inx + Iny Question 8 Write the expression in condensed form. logax + 4 loga y-3 loga x ) logax Question 9 Solution ln (x8y)1/2=(1/2 )(ln x8y) =(1/2)[ln x8+lny] =(1/2)×8 (lnx)+ (1/2)lny = 4 ln x+(1/2)ln y (1/2)logax+4 logay-3logax loga (x)1/2+logay4-logax3 = loga (x1/2y4)-logax3 = loga (x1/2-3y4) = logax-5/2y4 =loga (y4/x5/2)