1.

If log x (y) = 10 and log2 x = 5, then the value of y is:1. 2102. 253. 2504. 215

Answer» Correct Answer - Option 3 : 250

CONCEPT :

  • On removing the log from the equation the base of the log becomes base of the new  exponent term formed i.e. log a (x) = b, on removing log from the equation, we will get x = ab .

CALCULATION:

Given that log x (y) = 10 and log2 x = 5

∵ log2 x = 5

⇒ x = 25

Again log x (y) = 10

⇒ y = x10

= y = (25)10 = 250

Therefore, option (3) is the correct answer.



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