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

Convert Logarithm to Exponent - Fraction Value (Level 1)

This math topic focuses on converting logarithms to their equivalent exponential forms, particularly when dealing with fraction values. The problems present various logarithmic expressions, such as \(\log_b \left(\frac{1}{x}\right) = y\), and students are required to rewrite these expressions in the form \(b^y = \frac{1}{x}\). Each question provides multiple choices, and students must select the correct exponential expression that correctly represents the given logarithm. This is an introductory level worksheet tailored to strengthen understanding of the relationship between logarithms and exponents.

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

more

Logarithms - Convert Logarithm to Exponent - Fraction Value Worksheet

Logarithms - Convert Logarithm to Exponent - Fraction Value

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 4 1 over 16 = -2$

A LaTex expression showing -2 to the power of 4 = 1 over 16

A LaTex expression showing -2 to the power of 1 over 16 = 4

A LaTex expression showing 4 to the power of -2 = 1 over 16

A LaTex expression showing 1 over 16 to the power of 4 = -2

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 6 1 over 216 = -3$

A LaTex expression showing -3 to the power of 1 over 216 = 6

A LaTex expression showing -3 to the power of 6 = 1 over 216

A LaTex expression showing 6 to the power of -3 = 1 over 216

A LaTex expression showing 1 over 216 to the power of 6 = -3

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 9 1 over 81 = -2$

A LaTex expression showing 9 to the power of -2 = 1 over 81

A LaTex expression showing -2 to the power of 1 over 81 = 9

A LaTex expression showing -2 to the power of 9 = 1 over 81

A LaTex expression showing 1 over 81 to the power of 9 = -2

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 7 1 over 49 = -2$

A LaTex expression showing 1 over 49 to the power of -2 = 7

A LaTex expression showing -2 to the power of 1 over 49 = 7

A LaTex expression showing -2 to the power of 7 = 1 over 49

A LaTex expression showing 1 over 49 to the power of 7 = -2

A LaTex expression showing 7 to the power of -2 = 1 over 49

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 5 1 over 125 = -3$

A LaTex expression showing -3 to the power of 5 = 1 over 125

A LaTex expression showing 5 to the power of -3 = 1 over 125

A LaTex expression showing 1 over 125 to the power of -3 = 5

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 5 1 over 25 = -2$

A LaTex expression showing 1 over 25 to the power of 5 = -2

A LaTex expression showing 1 over 25 to the power of -2 = 5

A LaTex expression showing 5 to the power of -2 = 1 over 25

A LaTex expression showing -2 to the power of 1 over 25 = 5

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 2 1 over 4 = -2$

A LaTex expression showing -2 to the power of 2 = 1 over 4

A LaTex expression showing 2 to the power of -2 = 1 over 4

A LaTex expression showing -2 to the power of 1 over 4 = 2

Convert the given logarithm to the equivalent in exponent form

$A LaTex expression showing \log sub 2 1 over 8 = -3$

A LaTex expression showing 2 to the power of -3 = 1 over 8

A LaTex expression showing 1 over 8 to the power of 2 = -3

A LaTex expression showing -3 to the power of 2 = 1 over 8

A LaTex expression showing 1 over 8 to the power of -3 = 2