If log6 25 − 2 log6 5 + log6 a then the value of ‘a’ is?
- 1
- 0
- 2
- None of these
Explanation
Let's simplify the expression:
log6 25 − 2 log6 5 + log6 a
Since 25 = 5^2:
log6 25 = log6 (5^2) = 2 log6 5
So, the expression becomes:
2 log6 5 - 2 log6 5 + log6 a
= log6 a
If this expression equals 0 (assuming that's the goal):
log6 a = 0
This implies:
a = 6^0
a = 1
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