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

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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Logarithms - Change of Base - From Fraction Worksheet

Math worksheet on 'Logarithms - Change of Base - From 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 fraction to its simplified form with a change of base

A LaTex expression showing log sub 4 11 over log sub 4 4

a $A LaTex expression showing \log sub 6 11$

b $A LaTex expression showing \log sub 4 11$

c $A LaTex expression showing \log sub 4 12$

d $A LaTex expression showing \log sub 5 11$

e $A LaTex expression showing \log sub 4 13$

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

A LaTex expression showing log sub 5 8 over log sub 5 3

a $A LaTex expression showing \log sub 3 7$

b $A LaTex expression showing \log sub 3 6$

c $A LaTex expression showing \log sub 3 8$

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

A LaTex expression showing log sub 4 4 over log sub 4 7

a $A LaTex expression showing \log sub 7 3$

b $A LaTex expression showing \log sub 7 5$

c $A LaTex expression showing \log sub 4 7$

d $A LaTex expression showing \log sub 7 4$

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

A LaTex expression showing log sub 8 4 over log sub 8 2

a $A LaTex expression showing \log sub 2 6$

b $A LaTex expression showing \log sub 2 5$

c $A LaTex expression showing \log sub 2 4$

d $A LaTex expression showing \log sub 4 2$

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

A LaTex expression showing log sub 4 11 over log sub 4 2

a $A LaTex expression showing \log sub 2 10$

b $A LaTex expression showing \log sub 2 11$

c $A LaTex expression showing \log sub 2 13$

d $A LaTex expression showing \log sub 1 11$

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

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

a $A LaTex expression showing \log sub 8 2$

b $A LaTex expression showing \log sub 8 1$

c $A LaTex expression showing \log sub 10 2$

d $A LaTex expression showing \log sub 2 8$

e $A LaTex expression showing \log sub 8 0$

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

A LaTex expression showing log sub 7 11 over log sub 7 6

a $A LaTex expression showing \log sub 11 6$

b $A LaTex expression showing \log sub 6 9$

c $A LaTex expression showing \log sub 6 11$

d $A LaTex expression showing \log sub 6 13$