Logarithms

Power Property - Power To Product (Variables) (Level 1)

This math topic focuses on practicing the logarithm power property, which involves converting a logarithm expression where a variable exponent is placed on the argument to a product of the exponent and the logarithm of the base. The problems provided help students learn to manipulate and simplify logarithmic expressions using this power-to-product rule with different variables and bases across multiple examples. Each question is structured with multiple-choice answers to validate understanding and application of the logarithmic power property.

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

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Logarithms - Power Property - Power To Product (Variables) Worksheet

Logarithms - Power Property - Power To Product (Variables)

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

$A LaTex expression showing \log sub r n to the power of x$

a $A LaTex expression showing n\log sub r x$

b $A LaTex expression showing x\log sub r n$

c $A LaTex expression showing r\log sub x n$

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

$A LaTex expression showing \log sub r p to the power of n$

a $A LaTex expression showing n\log sub r p$

b $A LaTex expression showing r\log sub n p$

c $A LaTex expression showing p\log sub r n$

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

$A LaTex expression showing \log sub z r to the power of x$

a $A LaTex expression showing r\log sub z x$

b $A LaTex expression showing z\log sub x r$

c $A LaTex expression showing x\log sub z r$

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

$A LaTex expression showing \log sub r p to the power of x$

a $A LaTex expression showing p\log sub r x$

b $A LaTex expression showing r\log sub x p$

c $A LaTex expression showing x\log sub r p$

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

$A LaTex expression showing \log sub r m to the power of y$

a $A LaTex expression showing y\log sub r m$

b $A LaTex expression showing r\log sub y m$

c $A LaTex expression showing m\log sub r y$

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

$A LaTex expression showing \log sub t p to the power of w$

a $A LaTex expression showing t\log sub w p$

b $A LaTex expression showing p\log sub t w$

c $A LaTex expression showing w\log sub t p$

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

$A LaTex expression showing \log sub p x to the power of m$

a $A LaTex expression showing p\log sub m x$

b $A LaTex expression showing x\log sub p m$

c $A LaTex expression showing m\log sub p x$

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

$A LaTex expression showing \log sub w p to the power of n$

a $A LaTex expression showing n\log sub w p$

b $A LaTex expression showing w\log sub n p$

c $A LaTex expression showing p\log sub w n$