The Simplified Form Of Log(75/16) -2 Log(5/9) +log(32/343) Is ?

1.	The Simplified Form Of Log(75/16) -2 Log(5/9) +log(32/343) Is ?
Answer» Given Exp= log75/16 – 2 log5/9 + log32/343 = log [(25 X 3) / (4 x 4)] – log (25/81) + log [(16 x 2) / (81 x 3)] = log(25 x 3) – log ( 4 x 4 ) – log(25) + log81 + log(16 x 2) -log (81 x 3) = log 25 + log 3 – log 16 – log 25 + log 81 + log 16 + log 2 – log 81 – log 3 = log 2. Given Exp= log75/16 – 2 log5/9 + log32/343 = log [(25 x 3) / (4 x 4)] – log (25/81) + log [(16 x 2) / (81 x 3)] = log(25 x 3) – log ( 4 x 4 ) – log(25) + log81 + log(16 x 2) -log (81 x 3) = log 25 + log 3 – log 16 – log 25 + log 81 + log 16 + log 2 – log 81 – log 3 = log 2.

Answer»

Given Exp= log75/16 – 2 log5/9 + log32/343

= log [(25 X 3) / (4 x 4)] – log (25/81) + log [(16 x 2) / (81 x 3)]

= log(25 x 3) – log ( 4 x 4 ) – log(25) + log81 + log(16 x 2) -log (81 x 3)

= log 25 + log 3 – log 16 – log 25 + log 81 + log 16 + log 2 – log 81 – log 3

= log 2.

Given Exp= log75/16 – 2 log5/9 + log32/343

= log [(25 x 3) / (4 x 4)] – log (25/81) + log [(16 x 2) / (81 x 3)]

= log(25 x 3) – log ( 4 x 4 ) – log(25) + log81 + log(16 x 2) -log (81 x 3)

= log 25 + log 3 – log 16 – log 25 + log 81 + log 16 + log 2 – log 81 – log 3

= log 2.

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