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.

more

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

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

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

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

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

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 5 65.66 = 2.6$

A LaTex expression showing 65.66 to the power of 2.6 = 5

A LaTex expression showing 65.66 to the power of 5 = 2.6

A LaTex expression showing 5 to the power of 2.6 = 65.66

A LaTex expression showing 2.6 to the power of 5 = 65.66

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 7 2,401 = 4$

A LaTex expression showing 7 to the power of 4 = 2,401

A LaTex expression showing 2,401 to the power of 4 = 7

A LaTex expression showing 4 to the power of 2,401 = 7

A LaTex expression showing 2,401 to the power of 7 = 4

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 5 77.13 = 2.7$

A LaTex expression showing 5 to the power of 2.7 = 77.13

A LaTex expression showing 77.13 to the power of 5 = 2.7

A LaTex expression showing 2.7 to the power of 5 = 77.13

A LaTex expression showing 2.7 to the power of 77.13 = 5

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 9 585.2 = 2.9$

A LaTex expression showing 585.2 to the power of 9 = 2.9

A LaTex expression showing 9 to the power of 2.9 = 585.2

A LaTex expression showing 585.2 to the power of 2.9 = 9

A LaTex expression showing 2.9 to the power of 585.2 = 9

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 6 43.06 = 2.1$

A LaTex expression showing 43.06 to the power of 6 = 2.1

A LaTex expression showing 2.1 to the power of 43.06 = 6

A LaTex expression showing 2.1 to the power of 6 = 43.06

A LaTex expression showing 6 to the power of 2.1 = 43.06

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 3 195.07 = 4.8$

A LaTex expression showing 3 to the power of 4.8 = 195.07

A LaTex expression showing 195.07 to the power of 4.8 = 3

A LaTex expression showing 4.8 to the power of 3 = 195.07

A LaTex expression showing 4.8 to the power of 195.07 = 3

A LaTex expression showing 195.07 to the power of 3 = 4.8

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