Logarithms

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

This math topic focuses on practicing the power property of logarithms, specifically converting expressions with a product into a power form using variables. It involves manipulating logarithmic expressions to understand and apply the power rule, which states that a coefficient in front of the logarithm can be converted into an exponent on the argument of the logarithm. Each question provides multiple choice answers, enhancing problem-solving skills and reinforcing understanding of logarithmic properties in different contexts.

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

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

Logarithms - Power Property - Product to Power (Variables)

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

$A LaTex expression showing m\log sub q w$

a $A LaTex expression showing \log sub q w to the power of m$

b $A LaTex expression showing q\log sub m w to the power of m$

c $A LaTex expression showing \log sub q m to the power of w$

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

$A LaTex expression showing q\log sub w z$

a $A LaTex expression showing \log sub w z to the power of q$

b $A LaTex expression showing w\log sub q z to the power of q$

c $A LaTex expression showing \log sub w q to the power of z$

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

$A LaTex expression showing x\log sub z n$

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

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

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

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

$A LaTex expression showing m\log sub n p$

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

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

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

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

$A LaTex expression showing z\log sub p x$

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

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

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

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

$A LaTex expression showing w\log sub q p$

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

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

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

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

$A LaTex expression showing r\log sub w n$

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

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

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

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

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

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

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

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