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

Logarithms - Convert Exponent to Logarithm - From Decimal

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 10 to the power of 3 = 1,000

a $A LaTex expression showing \log sub 10 1,000 = 3$

b $A LaTex expression showing \log sub 3 10 = 1,000$

c $A LaTex expression showing \log sub 1,000 10 = 3$

d $A LaTex expression showing \log sub 3 1,000 = 10$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 4 to the power of 4.3 = 388.02

a $A LaTex expression showing \log sub 388.02 4.3 = 4$

b $A LaTex expression showing \log sub 388.02 4 = 4.3$

c $A LaTex expression showing \log sub 4.3 4 = 388.02$

d $A LaTex expression showing \log sub 4.3 388.02 = 4$

e $A LaTex expression showing \log sub 4 388.02 = 4.3$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 9 to the power of 2.3 = 156.59

a $A LaTex expression showing \log sub 2.3 156.59 = 9$

b $A LaTex expression showing \log sub 156.59 9 = 2.3$

c $A LaTex expression showing \log sub 2.3 9 = 156.59$

d $A LaTex expression showing \log sub 156.59 2.3 = 9$

e $A LaTex expression showing \log sub 9 156.59 = 2.3$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 2 to the power of 3.7 = 13

a $A LaTex expression showing \log sub 2 13 = 3.7$

b $A LaTex expression showing \log sub 3.7 13 = 2$

c $A LaTex expression showing \log sub 13 2 = 3.7$

d $A LaTex expression showing \log sub 3.7 2 = 13$

Convert the given exponent to the equivalent in logarithm form

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

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

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

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

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

Convert the given exponent to the equivalent in logarithm form

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

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

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

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

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 8 to the power of 2.8 = 337.79

a $A LaTex expression showing \log sub 337.79 2.8 = 8$

b $A LaTex expression showing \log sub 8 337.79 = 2.8$

c $A LaTex expression showing \log sub 2.8 8 = 337.79$

d $A LaTex expression showing \log sub 2.8 337.79 = 8$

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

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

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

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