If 4^(4x+1)=1/64, then the value of X is?
- -1
- 1
- 0
- None of these
Explanation
4^(4x+1) = 1/64
We can start by noticing that 1/64 = 2^(-6) = 4^(-3) (since 4 = 2^2).
So, we have:
4^(4x+1) = 4^(-3)
Since the bases are the same (both are 4), we can equate the exponents:
4x + 1 = -3
Subtracting 1 from both sides gives:
4x = -4
Dividing both sides by -4 gives:
x = -1
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