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

Convert Exponent to Logarithm - Decimal Value (Level 1)

This math topic covers the conversion of exponential expressions into their equivalent logarithmic forms with a focus on decimal values. Specifically, problems entail transforming equations such as \(a^b = c\) into \(\log_a c = b\), where \(a\) and \(c\) are integers, and \(b\) is a decimal. Each question provides a different base, exponent, and result, requiring the identification of the correct logarithm form among multiple choices. This skill is fundamental for students beginning to understand the relationship between exponentiation and 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 - Decimal Value Worksheet

Math worksheet on 'Logarithms - Convert Exponent to Logarithm - Decimal 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 5.29 = 334

a $A LaTex expression showing \log sub 334 5.29 = 3$

b $A LaTex expression showing \log sub 334 3 = 5.29$

c $A LaTex expression showing \log sub 5.29 3 = 334$

d $A LaTex expression showing \log sub 3 334 = 5.29$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 2 to the power of 8.22 = 298

a $A LaTex expression showing \log sub 298 8.22 = 2$

b $A LaTex expression showing \log sub 2 298 = 8.22$

c $A LaTex expression showing \log sub 298 2 = 8.22$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 5 to the power of 3.48 = 272

a $A LaTex expression showing \log sub 272 3.48 = 5$

b $A LaTex expression showing \log sub 5 272 = 3.48$

c $A LaTex expression showing \log sub 3.48 272 = 5$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 9 to the power of 1.94 = 71

a $A LaTex expression showing \log sub 1.94 9 = 71$

b $A LaTex expression showing \log sub 71 9 = 1.94$

c $A LaTex expression showing \log sub 9 71 = 1.94$

d $A LaTex expression showing \log sub 71 1.94 = 9$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 4 to the power of 3.11 = 75

a $A LaTex expression showing \log sub 4 75 = 3.11$

b $A LaTex expression showing \log sub 75 3.11 = 4$

c $A LaTex expression showing \log sub 3.11 75 = 4$

d $A LaTex expression showing \log sub 75 4 = 3.11$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 8 to the power of 2.09 = 77

a $A LaTex expression showing \log sub 2.09 77 = 8$

b $A LaTex expression showing \log sub 77 8 = 2.09$

c $A LaTex expression showing \log sub 8 77 = 2.09$

d $A LaTex expression showing \log sub 77 2.09 = 8$

e $A LaTex expression showing \log sub 2.09 8 = 77$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing 10 to the power of 2.66 = 455

a $A LaTex expression showing \log sub 455 2.66 = 10$

b $A LaTex expression showing \log sub 10 455 = 2.66$

c $A LaTex expression showing \log sub 2.66 455 = 10$

d $A LaTex expression showing \log sub 455 10 = 2.66$