Convert Logarithm to Exponent - Fraction Base (Level 1)

This math topic focuses on converting logarithmic expressions to their equivalent exponential forms, specifically with fractional bases. It provides a series of problems where logarithms must be rewritten using exponentiation. This includes determining the correct exponential expression that corresponds to a given logarithmic statement, utilizing fractions both as the base of the logarithms and in the results of exponentiation. The problems are designed to enhance understanding of the relationship between logarithms and exponents, emphasizing how to convert between these two forms when the bases are fractions.

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

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Convert Logarithm to Exponent - Fraction Base

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Convert the given logarithm to the equivalent in exponent form

log15125=2\log _{\frac{1}{5}} \frac{1}{25} = 2

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