Logarithms - Convert Exponent to Logarithm - Fraction Value (Level 1) - Mobius Math Academy

Convert Exponent to Logarithm - Fraction Value (Level 1)

This math topic focuses on converting exponential expressions to their logarithmic form. The expressions involve negative exponents with fractional results, reinforcing understanding of the relation between powers and logarithms. Each question provides multiple choice answers with graphical representations of logarithmic equations. Each problem requires an understanding of the fundamental logarithm properties, particularly the transition between exponent forms (e.g., \(a^b = c\) converts to \( \log_a c = b\)). The questions are designed to assess and enhance a student's grasp of logarithmic relationships and operations, forming part of a broader introductory unit on logarithms.

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

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Logarithms - Convert Exponent to Logarithm - Fraction Value Worksheet

Math worksheet on 'Logarithms - Convert Exponent to Logarithm - Fraction Value (Level 1)'. Part of a broader unit on 'Logarithms - Intro' Learn online: app.mobius.academy/math/units/logarithms_intro/

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 3 to the power of -2 = 1 over 9

a $A LaTex expression showing \log sub 1 over 9 3 = -2$

b $A LaTex expression showing \log sub 3 1 over 9 = -2$

c $A LaTex expression showing \log sub -2 3 = 1 over 9$

d $A LaTex expression showing \log sub 1 over 9 -2 = 3$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 6 to the power of -2 = 1 over 36

a $A LaTex expression showing \log sub 1 over 36 -2 = 6$

b $A LaTex expression showing \log sub -2 1 over 36 = 6$

c $A LaTex expression showing \log sub 1 over 36 6 = -2$

d $A LaTex expression showing \log sub 6 1 over 36 = -2$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 3 to the power of -3 = 1 over 27

a $A LaTex expression showing \log sub -3 3 = 1 over 27$

b $A LaTex expression showing \log sub 3 1 over 27 = -3$

c $A LaTex expression showing \log sub 1 over 27 3 = -3$

d $A LaTex expression showing \log sub -3 1 over 27 = 3$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 6 to the power of -3 = 1 over 216

a $A LaTex expression showing \log sub 1 over 216 6 = -3$

b $A LaTex expression showing \log sub -3 1 over 216 = 6$

c $A LaTex expression showing \log sub 1 over 216 -3 = 6$

d $A LaTex expression showing \log sub 6 1 over 216 = -3$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 7 to the power of -2 = 1 over 49

a $A LaTex expression showing \log sub 1 over 49 -2 = 7$

b $A LaTex expression showing \log sub -2 7 = 1 over 49$

c $A LaTex expression showing \log sub 7 1 over 49 = -2$

d $A LaTex expression showing \log sub 1 over 49 7 = -2$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 5 to the power of -2 = 1 over 25

a $A LaTex expression showing \log sub 5 1 over 25 = -2$

b $A LaTex expression showing \log sub -2 5 = 1 over 25$

c $A LaTex expression showing \log sub 1 over 25 5 = -2$

d $A LaTex expression showing \log sub -2 1 over 25 = 5$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 2 to the power of -2 = 1 over 4

a $A LaTex expression showing \log sub 1 over 4 2 = -2$

b $A LaTex expression showing \log sub 2 1 over 4 = -2$

c $A LaTex expression showing \log sub -2 1 over 4 = 2$

d $A LaTex expression showing \log sub 1 over 4 -2 = 2$

e $A LaTex expression showing \log sub -2 2 = 1 over 4$