Practice mode Surds and Indices

If (√3)^x = 81, what is the value of x?

Correct answer B. 8

Explanation

√3 = 3^(1/2) and 81 = 3⁴. So 3^(x/2) = 3⁴, giving x/2 = 4 and x = 8. Hence the correct option is 8.

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