# !)find the value of log 490 if log 7 is=0.8450 2)given that hcf(306,657) =9 find lcm (306,657) 3)if prove that 2 log(x+y)=Log X+log Y+3 log 24)simplify log243 to the base 9

2
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is 4) solution is correct ? give ur reply?

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
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

wherez other 3
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