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

Convert Logarithm to Exponent - From Decimal (Level 1)

This math topic focuses on converting logarithmic expressions to their equivalent exponential forms, specifically dealing with logarithms of decimal values. The problems require understanding the relationship between logarithms and exponents, especially in cases where both the base and the exponent are decimals. Each question presents a logarithmic equation that must be transformed into the correct exponential form, with several options provided for students to select the correct conversion. This practice helps to deepen understanding of logarithmic functions and their applications in various mathematical contexts.

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

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Convert Logarithm to Exponent - From Decimal

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Convert the given logarithm to the equivalent in exponent form

\log _{2} 4.59 = 2.2

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Logarithms - Convert Logarithm to Exponent - From Decimal Worksheet

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

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 2 4.59 = 2.2$

A LaTex expression showing 2 to the power of 2.2 = 4.59

A LaTex expression showing 2.2 to the power of 4.59 = 2

A LaTex expression showing 2.2 to the power of 2 = 4.59

Convert the given logarithm to the equivalent in exponent form

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

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

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

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

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

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

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 7 2,916.77 = 4.1$

A LaTex expression showing 4.1 to the power of 2,916.77 = 7

A LaTex expression showing 2,916.77 to the power of 4.1 = 7

A LaTex expression showing 4.1 to the power of 7 = 2,916.77

A LaTex expression showing 7 to the power of 4.1 = 2,916.77

Convert the given logarithm to the equivalent in exponent form

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

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

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

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

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

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 5 106.42 = 2.9$

A LaTex expression showing 5 to the power of 2.9 = 106.42

A LaTex expression showing 2.9 to the power of 106.42 = 5

A LaTex expression showing 106.42 to the power of 5 = 2.9

A LaTex expression showing 2.9 to the power of 5 = 106.42

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 9 4,227.87 = 3.8$

A LaTex expression showing 3.8 to the power of 9 = 4,227.87

A LaTex expression showing 4,227.87 to the power of 9 = 3.8

A LaTex expression showing 4,227.87 to the power of 3.8 = 9

A LaTex expression showing 9 to the power of 3.8 = 4,227.87

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 2 4.29 = 2.1$

A LaTex expression showing 2.1 to the power of 2 = 4.29

A LaTex expression showing 2.1 to the power of 4.29 = 2

A LaTex expression showing 4.29 to the power of 2.1 = 2

A LaTex expression showing 2 to the power of 2.1 = 4.29