Convert Exponent to Logarithm - Integer Base (Level 1)

This math topic focuses on converting exponential expressions into their equivalent logarithmic forms using integer bases. It is part of a broader unit on logarithms and is designed for beginners (Level 1). The problems presented involve identifying the correct logarithmic expression that corresponds with a given exponential form, like translating '4 to the power of 3 equals 64' into the correct logarithmic statement. Each question offers multiple choices, reinforcing the understanding of how bases and exponents translate into logarithms. This conversion skill is essential for understanding logarithmic relationships and their applications.

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

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Logarithms - Convert Exponent to Logarithm - Integer Base Worksheet

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Math worksheet on 'Logarithms - Convert Exponent to Logarithm - Integer Base (Level 1)'. Part of a broader unit on 'Logarithms - Intro' Learn online: app.mobius.academy/math/units/logarithms_intro/
1
Convert the given exponent to the equivalent in logarithm form
A LaTex expression showing 3 to the power of 4 = 81
a A LaTex expression showing \log sub 4 81 = 3
b A LaTex expression showing \log sub 4 3 = 81
c A LaTex expression showing \log sub 81 4 = 3
d A LaTex expression showing \log sub 3 81 = 4
2
Convert the given exponent to the equivalent in logarithm form
A LaTex expression showing 3 to the power of 2 = 9
a A LaTex expression showing \log sub 2 9 = 3
b A LaTex expression showing \log sub 9 2 = 3
c A LaTex expression showing \log sub 2 3 = 9
d A LaTex expression showing \log sub 3 9 = 2
3
Convert the given exponent to the equivalent in logarithm form
A LaTex expression showing 7 to the power of 2 = 49
a A LaTex expression showing \log sub 7 49 = 2
b A LaTex expression showing \log sub 2 49 = 7
c A LaTex expression showing \log sub 2 7 = 49
4
Convert the given exponent to the equivalent in logarithm form
A LaTex expression showing 3 to the power of 3 = 27
a A LaTex expression showing \log sub 27 3 = 3
b A LaTex expression showing \log sub 3 27 = 3
c A LaTex expression showing \log sub 3 3 = 27
5
Convert the given exponent to the equivalent in logarithm form
A LaTex expression showing 10 to the power of 3 = 1,000
a A LaTex expression showing \log sub 1,000 10 = 3
b A LaTex expression showing \log sub 3 10 = 1,000
c A LaTex expression showing \log sub 10 1,000 = 3
6
Convert the given exponent to the equivalent in logarithm form
A LaTex expression showing 2 to the power of 4 = 16
a A LaTex expression showing \log sub 16 2 = 4
b A LaTex expression showing \log sub 2 16 = 4
c A LaTex expression showing \log sub 4 16 = 2
d A LaTex expression showing \log sub 16 4 = 2
7
Convert the given exponent to the equivalent in logarithm form
A LaTex expression showing 6 to the power of 3 = 216
a A LaTex expression showing \log sub 216 3 = 6
b A LaTex expression showing \log sub 6 216 = 3
c A LaTex expression showing \log sub 3 216 = 6
d A LaTex expression showing \log sub 216 6 = 3