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.

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Logarithms - Convert Logarithm to Exponent - Fraction Base Worksheet

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Math worksheet on 'Logarithms - Convert Logarithm to Exponent - Fraction Base (Level 1)'. Part of a broader unit on 'Logarithms - Intro' Learn online: app.mobius.academy/math/units/logarithms_intro/
1
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 1 over 8 1 over 64 = 2
a A LaTex expression showing 2 to the power of 1 over 64 = 1 over 8
b A LaTex expression showing 1 over 8 to the power of 2 = 1 over 64
c A LaTex expression showing 2 to the power of 1 over 8 = 1 over 64
d A LaTex expression showing 1 over 64 to the power of 2 = 1 over 8
2
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 1 over 2 1 over 4 = 2
a A LaTex expression showing 2 to the power of 1 over 4 = 1 over 2
b A LaTex expression showing 1 over 2 to the power of 2 = 1 over 4
c A LaTex expression showing 2 to the power of 1 over 2 = 1 over 4
d A LaTex expression showing 1 over 4 to the power of 1 over 2 = 2
3
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 1 over 10 1 over 100,000 = 5
a A LaTex expression showing 5 to the power of 1 over 100,000 = 1 over 10
b A LaTex expression showing 1 over 10 to the power of 5 = 1 over 100,000
c A LaTex expression showing 1 over 100,000 to the power of 5 = 1 over 10
d A LaTex expression showing 1 over 100,000 to the power of 1 over 10 = 5
4
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 1 over 10 1 over 10,000 = 4
a A LaTex expression showing 4 to the power of 1 over 10 = 1 over 10,000
b A LaTex expression showing 1 over 10,000 to the power of 1 over 10 = 4
c A LaTex expression showing 1 over 10 to the power of 4 = 1 over 10,000
d A LaTex expression showing 1 over 10,000 to the power of 4 = 1 over 10
5
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 1 over 6 1 over 216 = 3
a A LaTex expression showing 1 over 6 to the power of 3 = 1 over 216
b A LaTex expression showing 1 over 216 to the power of 3 = 1 over 6
c A LaTex expression showing 1 over 216 to the power of 1 over 6 = 3
d A LaTex expression showing 3 to the power of 1 over 216 = 1 over 6
6
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 1 over 5 1 over 25 = 2
a A LaTex expression showing 1 over 5 to the power of 2 = 1 over 25
b A LaTex expression showing 1 over 25 to the power of 1 over 5 = 2
c A LaTex expression showing 1 over 25 to the power of 2 = 1 over 5
d A LaTex expression showing 2 to the power of 1 over 25 = 1 over 5
7
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 1 over 2 1 over 8 = 3
a A LaTex expression showing 1 over 2 to the power of 3 = 1 over 8
b A LaTex expression showing 3 to the power of 1 over 8 = 1 over 2
c A LaTex expression showing 3 to the power of 1 over 2 = 1 over 8
d A LaTex expression showing 1 over 8 to the power of 1 over 2 = 3
Logarithms - Convert Logarithm to Exponent - Fraction Base (Level 1) - Mobius Math Academy