If , then the value of is
Correct Answer :
1/3
Solution :
Correct Answer: 1/3 (Option 3)
We are given:
and
Taking the -th root on both sides of the first equation:
Similarly, taking the -th root on both sides of the second equation:
Now, divide the first expression by the second:
Since , we have:
Comparing the exponents on both sides (since the bases are equal to 10):
Dividing by 3 on both sides yields:
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