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2015-03-23T22:01:03+05:30

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3)X square+Y square=6XY
add 2XY on both the sides 
Xsquare+Ysquare+2XY=6XY+2XY
(X+Y) square=8XY
add log on both sides
2 log (x+y)=log8+logX+logY
(LOGXYZ=LOGX+LOGY+LOGZ)
2 log (x+y)=log2 cube+logx+logy
2 log (x+y)=logx+logy+3log2

4)log243 base 9=x
3 power 5=9 power x
3 power 5=3 power 2x
bases are equal ,equate the powers
5=2x
5/2=x





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2015-03-23T23:05:25+05:30

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1) log 490 =Log ( 49*10) =Log 49 + log 10 =Log 7^2 + log 10 =2 log 7 + 1 =2*0.8450 + 1 =1.69 + 1 =2.69 2) HCF (306,657) = 9 LCM (306,657) = LCM (2*3*3*17, 3*3*73) = 2*3*3*17*73 = 22338
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