Question

the value of x when 25 base X equal to 85 base 10​

Answer 1

Answer:

1. 25x=85×10
2. x=850/25
3. =34

Answer 2

The value of X is 40.

• Given, 25 in some base X is equal to 85 in base 10.
• To find the value of the base X, we need to convert 25 from base X to base 10 and then equate both the results.
• To convert 25 form base X to base 10, we multiply each digit with increasing powers of X, starting from the rightmost digit (i.e, LSB) upto the left most digit (i.e, MSB).
• Converting 25 in base X to base 10

         (X^0 * 5) + (X^1 * 2) = 2X + 5

• But, 25 in base X equals 85 in base 10. Therefore, equating both the results,

         2X + 5 = 85

   =>  X = ( 85 - 5 ) / 2

   =>  X = 40

• Thus, the value of X is 40.