Both are extraneous solutions.Only 3 is an extraneous solution. Only –3 is an extraneous solution. Neither is an extraneous solution.
⇒ 3
3
⇒ -3
-3
Explain the error in the solution below. What additional step needs to be completed?log x – log53 = 2log53 log x = 3log53 log x = log533 x = 27
The error is applying the one-to-one property when the logarithms have different bases. The additional step is to use the change-of-base formula to rewrite the logarithms with the same base before solving.
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