log 625 base 25 -log 961 base 31 + log 841 base 29 is :
2024202320232025
log 625 base 25 -log 961 base 31 + log 841 base 29 is :
- A.
2.5
- B.
2.0
- C.
1.5
- D.
1.0
Attempted by 6 students.
Show answer & explanation
Correct answer: B
Solution: Compute each logarithm by expressing the arguments as powers of their bases.
log base 25 of 625 = 2 because 625 = 25^2.
log base 31 of 961 = 2 because 961 = 31^2.
log base 29 of 841 = 2 because 841 = 29^2.
Now substitute these values into the expression: 2 - 2 + 2 = 2.
Therefore the value of the given expression is 2.