The value of √25^3x/5^6x-2 = _____?
- 5
- 10
- 15
- None of these
Explanation
Let's simplify the expression:
√25^(3x) = √(5²)^(3x) = √(5^(6x)) = 5^(3x)
Now, divide by 5^(6x-2):
5^(3x) / 5^(6x-2) = 5^(3x - 6x + 2) = 5^(-3x + 2)
For this to equal one of the given options (5, 10, 15), let's see if -3x + 2 = 1 (for 5¹ = 5):
-3x + 2 = 1
-3x = -1
x = 1/3
Then, 5^(-3(1/3) + 2) = 5¹ = 5
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اس سوال کو وضاحت کے ساتھ پڑھیں
- 20
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- 35
اس سوال کو وضاحت کے ساتھ پڑھیں
