If logₓ 256 = 8, then the value of x is:
Model Answer & Options
Source: Extra Practice2
4
16
32
Explanation
Converting the logarithmic form logₓ 256 = 8 into exponential form, we get x⁸ = 256. We know that 256 = 2⁸. Therefore, x⁸ = 2⁸. Since the exponents are equal, the bases must be equal, so x = 2. Option A is the correct answer.
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