Change of Base - From Fraction (Level 1)

This math topic focuses on practicing the conversion of logarithms from one base to another using fractions. Specifically, it teaches how to simplify expressions where logarithms are given as fractions by changing their bases, a vital skill in algebra and higher-level mathematics. The questions provide logarithmic expressions with different bases, and students must convert these into simplified forms with new bases. Each question comes with multiple-choice answers to reinforce learning and self-assessment. This is a part of a broader unit on logarithms.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Change of Base - From Fraction

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Convert the given logarithm fraction to its simplified form with a change of base

log84log82\frac{log _8 4}{log _8 2}

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