How to subtract logs with the same base

College algebra students learn How to subtract logs with the same base, and manipulate different types of functions.

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Combining or Condensing Logarithms

From my understanding, if two logs have the same base in a division, then the constants can simply be divided i.e 125 / 25 = 5 to result in log 5 = 1.5 but that is not the case as log 5 ≠ 1.5 .

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Algebra II : Adding and Subtracting Logarithms

When subtracting two logs with the same base, divide the argument of the minuend by the one of the subtrahend. log_b a - log_b c = log_b a/c Register to view this lesson