Logarithms - Convert Exponent to Logarithm - From Decimal (Level 1) - Mobius Math Academy

Convert Exponent to Logarithm - From Decimal (Level 1)

This math topic focuses on converting exponentiations into their logarithmic forms, specifically dealing with decimal exponents and results. Various problems present exponential expressions, such as "6 raised to the power of 2.6 equals 105.49", and require finding the equivalent logarithmic statement. The problems include multiple-choice answers depicting different logarithmic forms for verification. This practice aims to enhance understanding of the relationship between exponents and logarithms, reinforcing the ability to manipulate and interpret these mathematical expressions accurately.

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

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Logarithms - Convert Exponent to Logarithm - From Decimal Worksheet

Math worksheet on 'Logarithms - Convert Exponent to Logarithm - From Decimal (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 6 to the power of 2.6 = 105.49

a $A LaTex expression showing \log sub 105.49 6 = 2.6$

b $A LaTex expression showing \log sub 6 105.49 = 2.6$

c $A LaTex expression showing \log sub 2.6 105.49 = 6$

d $A LaTex expression showing \log sub 105.49 2.6 = 6$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 7 to the power of 2.2 = 72.31

a $A LaTex expression showing \log sub 7 72.31 = 2.2$

b $A LaTex expression showing \log sub 72.31 2.2 = 7$

c $A LaTex expression showing \log sub 2.2 7 = 72.31$

d $A LaTex expression showing \log sub 72.31 7 = 2.2$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 5 to the power of 2.8 = 90.6

a $A LaTex expression showing \log sub 2.8 5 = 90.6$

b $A LaTex expression showing \log sub 5 90.6 = 2.8$

c $A LaTex expression showing \log sub 2.8 90.6 = 5$

d $A LaTex expression showing \log sub 90.6 2.8 = 5$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 9 to the power of 4.7 = 30,544.98

a $A LaTex expression showing \log sub 30,544.98 9 = 4.7$

b $A LaTex expression showing \log sub 9 30,544.98 = 4.7$

c $A LaTex expression showing \log sub 30,544.98 4.7 = 9$

d $A LaTex expression showing \log sub 4.7 30,544.98 = 9$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 6 to the power of 3.2 = 309.09

a $A LaTex expression showing \log sub 6 309.09 = 3.2$

b $A LaTex expression showing \log sub 309.09 3.2 = 6$

c $A LaTex expression showing \log sub 309.09 6 = 3.2$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 9 to the power of 2.8 = 469.76

a $A LaTex expression showing \log sub 469.76 9 = 2.8$

b $A LaTex expression showing \log sub 2.8 469.76 = 9$

c $A LaTex expression showing \log sub 9 469.76 = 2.8$

d $A LaTex expression showing \log sub 469.76 2.8 = 9$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 2 to the power of 2.7 = 6.5

a $A LaTex expression showing \log sub 2 6.5 = 2.7$

b $A LaTex expression showing \log sub 2.7 6.5 = 2$

c $A LaTex expression showing \log sub 6.5 2 = 2.7$

d $A LaTex expression showing \log sub 2.7 2 = 6.5$