91
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Solving Equations using Properties of Logarithms

Question 91 • Health and Wellness Education

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

Answer

Answer:

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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