Logarithms - Change of Base - To Fraction (Level 1) - Mobius Math Academy

Change of Base - To Fraction (Level 1)

This math topic involves practicing the process of converting logarithms to different bases using fractional representations. The problems focus on changing logarithms with various original bases to specified new bases, such as base 6, base 3, base 7, base 10, base 4, and base 5. Each question provides a logarithmic expression along with multiple-choice answers in the form of different logarithmic expressions converted into the target base. The exercises are designed to enhance understanding and application of the logarithm base change formula.

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

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Logarithms - Change of Base - To Fraction Worksheet

Math worksheet on 'Logarithms - Change of Base - To Fraction (Level 1)'. Part of a broader unit on 'Logarithm Functions - Intro' Learn online: app.mobius.academy/math/units/logarithms_functions_intro/

Convert the given logarithm to the equivalent in base 4

$A LaTex expression showing \log sub 4 6$

A LaTex expression showing log sub 4 6 over log sub 4 4

A LaTex expression showing log sub 6 4 over log sub 6 4

A LaTex expression showing log sub 4 4 over log sub 4 6

Convert the given logarithm to the equivalent in base 8

$A LaTex expression showing \log sub 8 12$

A LaTex expression showing log sub 8 8 over log sub 8 12

A LaTex expression showing log sub 8 12 over log sub 8 8

A LaTex expression showing log sub 1 2 8 over log sub 1 2 8

Convert the given logarithm to the equivalent in base 5

$A LaTex expression showing \log sub 9 4$

A LaTex expression showing log sub 9 4 over log sub 9 5

A LaTex expression showing log sub 5 9 over log sub 5 4

A LaTex expression showing log sub 5 4 over log sub 5 9

A LaTex expression showing log sub 4 5 over log sub 4 9

Convert the given logarithm to the equivalent in base 5

$A LaTex expression showing \log sub 4 13$

A LaTex expression showing log sub 5 4 over log sub 5 13

A LaTex expression showing log sub 4 13 over log sub 4 5

A LaTex expression showing log sub 5 13 over log sub 5 4

A LaTex expression showing log sub 1 3 4 over log sub 1 3 5

Convert the given logarithm to the equivalent in base 5

$A LaTex expression showing \log sub 6 4$

A LaTex expression showing log sub 5 6 over log sub 5 4

A LaTex expression showing log sub 5 4 over log sub 5 6

A LaTex expression showing log sub 6 4 over log sub 6 5

Convert the given logarithm to the equivalent in base 5

$A LaTex expression showing \log sub 7 9$

A LaTex expression showing log sub 7 9 over log sub 7 5

A LaTex expression showing log sub 5 9 over log sub 5 7

A LaTex expression showing log sub 9 7 over log sub 9 5

Convert the given logarithm to the equivalent in base 3

$A LaTex expression showing \log sub 8 14$

A LaTex expression showing log sub 8 14 over log sub 8 3

A LaTex expression showing log sub 1 4 8 over log sub 1 4 3

A LaTex expression showing log sub 3 14 over log sub 3 8