Question

2log_(3)(x)=4 log_(3)(x^(2))=4 x^(2)=3^(4) x^(2)=81 x=9,-9 x=9 and x=-9 are true solutions x=9 and x=-9 are extraneous solutions x=9 is an extraneous solution and x=-9 is a true solution x=9 is a true solution and x=-9 is an extraneous solution

Answer 1

9

Explanation:

Answer 2

(d) x=9 is a true solution and x=-9 is an extraneous solution

Explanation:

Given a solution to 2log₃(x) = 4 that results in x=9, -9, you want to know which is a true solution and which is extraneous.

Logarithm

The log function is only defined for positive arguments, so log(x) will be undefined for x=-9.

x=9 is a true solution and x=-9 is an extraneous solution, choice D.

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