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 in the solution is treating the logarithms as if they have the same base. The first term, log x, is a common logarithm (base 10), while the other terms have a base of 5. The one-to-one property of logarithms only applies when the bases are identical. To solve the equation correctly, you must first use the change-of-base formula to rewrite the logarithms so they have the same base before attempting to equate the arguments.
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