Logarithms

Quotient Property - Difference to Division as Fraction (Variables) (Level 1)

This math topic focuses on practicing the quotient property of logarithms. It involves converting expressions from a difference of logarithms with the same base into the logarithm of a division (in fraction form), specifically with variables. Each problem provides a subtraction expression of logarithms and requires the student to rewrite it as the logarithm of a quotient, using various base and variable combinations. The series of questions enhances understanding of how differences and quotients relate within logarithmic functions. It forms part of an introductory unit on logarithmic functions.

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

more

Worksheet ViewUnit

Logarithms - Quotient Property - Difference to Division as Fraction (Variables) Worksheet

Logarithms - Quotient Property - Difference to Division as Fraction (...

Convert the given logarithm to its equivalent based on the quotient property

$A LaTex expression showing \log sub x z - \log sub x t$

a $A LaTex expression showing \log sub x t over z$

b $A LaTex expression showing \log sub t x over z$

c $A LaTex expression showing \log sub x z over t$

Convert the given logarithm to its equivalent based on the quotient property

$A LaTex expression showing \log sub q x - \log sub q p$

a $A LaTex expression showing \log sub q x over p$

b $A LaTex expression showing \log sub p q over x$

c $A LaTex expression showing \log sub q p over x$

Convert the given logarithm to its equivalent based on the quotient property

$A LaTex expression showing \log sub t n - \log sub t x$

a $A LaTex expression showing \log sub t x over n$

b $A LaTex expression showing \log sub t n over x$

c $A LaTex expression showing \log sub x t over n$

Convert the given logarithm to its equivalent based on the quotient property

$A LaTex expression showing \log sub p z - \log sub p t$

a $A LaTex expression showing \log sub p t over z$

b $A LaTex expression showing \log sub t p over z$

c $A LaTex expression showing \log sub p z over t$

Convert the given logarithm to its equivalent based on the quotient property

$A LaTex expression showing \log sub t p - \log sub t q$

a $A LaTex expression showing \log sub t q over p$

b $A LaTex expression showing \log sub t p over q$

c $A LaTex expression showing \log sub q t over p$

Convert the given logarithm to its equivalent based on the quotient property

$A LaTex expression showing \log sub n r - \log sub n y$

a $A LaTex expression showing \log sub n y over r$

b $A LaTex expression showing \log sub y n over r$

c $A LaTex expression showing \log sub n r over y$

Convert the given logarithm to its equivalent based on the quotient property

$A LaTex expression showing \log sub m t - \log sub m y$

a $A LaTex expression showing \log sub m y over t$

b $A LaTex expression showing \log sub y m over t$

c $A LaTex expression showing \log sub m t over y$

Convert the given logarithm to its equivalent based on the quotient property

$A LaTex expression showing \log sub m z - \log sub m p$

a $A LaTex expression showing \log sub m p over z$

b $A LaTex expression showing \log sub p m over z$

c $A LaTex expression showing \log sub m z over p$