1.

If m= log 20 and n = log 25, find the value of x, so that : 2 log (x - 4) = 2 m - n

Answer»

M = LOG 20 

n = log 25

so 2LOG (x - 4) = 2m - n

⇒  log (x - 4)² = 2log20 - log25

⇒ log(x - 4)² = log (20² / 25)

cancelling log from both sides

(x - 4)² = 20² / 25 

⇒ x - 4 = 20 / 5

x = 4 + 4 = 8 ANSWER


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