? log1227 = a
? log 27 / log 12 = a
? a log 12 = log 33
? a log ( 3 x 4 ) = 3 log 3
? a[log 3 + log 4] = 3 log 3
? a log 4 + a log 3 = 3 log 3
? a log 22 = ( 3 - a) log 3
? 2a log 2 = (3 - a) log 3
? log 2 / log 3 = (3 - a) / 2a
Now log616 = log16 / log 6 = log 24 / log (2 x 3) = 4 log 2 / ( log 2 + log 3)
= [4 (log 2 / log 3)] / [(log 2 / log 3) + 1]
= 4[(3 - a) / 2a] / [{(3 - a) / 2a } + 1]
= 4(3 - a) / (3 + a)
19657 Let x - 53651 = 9999 33994 Then, x = 9999 + 53651 = 63650 ----- 53651 -----
⟹ x + 3699 + 1985 = 31111 + 2047
⟹ x + 5684 = 33158
⟹ x = 33158 - 5684 = 27474.
Let 250 / √x = 10.
Then √x= 250 / 10 = 25
∴ x = 625
Let x + 6207 - 9038 = 107
Then x = (107 +9038) - (6207)
= 2938
Let x - 4799 = 1714
Then, x = 4799 + 1714
= 6513.
Let 9501 - x = 3697
Then x = 9501 - 3697
= 5804
66066 + 6606 + 66 + 6 = 72744
Let y x 48 = 173 x 240
Then y = (173 x 240) / 48
=173 x 5
= 865 .
Let N x 11 = 555555
Then N = 555555 / 11 = 50505.
Let 87 x N = 3393
Then, N = 3393 / 87 =39 .
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