• log2(2^4)=
• log(10^2)=

For an example, review page "13.4 | Logarithmic Functions".

Problem Set 2 - Evaluate Logarithms Using Exponential Equations (Fill in the Blank)

Fill in the Blank: Each correct answer earns 1 point.

1. First transform the logarithmic equation into an exponential equation.
2. Then solve the exponential equation.

• log(1000)=x

10^^x=

x =

• log9(243)=x

9^x=

x =

For an example, review page "13.5 | Evaluating Logarithms".

Problem Set 3 - Expand Logarithms Using the Product Property (Fill in the Blank)

Fill in the Blank: Each correct answer earns 1 point.

Expand each logarithm using the product property and evaluate logarithms with numerical arguments.

• log3(27x)=
• log(10010x)=

For an example, review page "13.6 | the Product Property of Logarithms".

Problem Set 4 - Expand Logarithms Using the Quotient Property (Fill in the Blank)

Fill in the Blank: Each correct answer earns 1 point.

Expand each logarithm using the quotient property and evaluate logarithms with numerical arguments.

• log5(x/25) =
• log(10x/10) =

For an example, review page "13.7 | The Quotient Property of Logarithms".

Problem Set 5 - Expand Logarithms Using the Power Property (Fill in the Blank)

Fill in the Blank: Each correct answer earns 1 point.

Expand each logarithm using the power property. You may use a calculator or R to evaluate logarithms with a numerical argument if you wish; otherwise, leave the result written as a logarithm.

• log3(x^5) =
• log3(5^x) =

For an example, review page "13.8 | The Power Property of Logarithms".

Problem Set 6 - Evaluate a Log-Linear Model (Fill in the Blank)

Fill in the Blank: Each correct answer earns 1 point. Please use a calculator or R to evaluate the logarithms and powers.

1. Evaluate the following log-linear model atxequal to0,.5and1.
2. Then find the value ofy.

log(y)=2(.25)x

• Evaluate this model and findyforx = 0.

log(y) =

y =

• Evaluate this model and findyforx = .5.

log(y) =

y =

• Evaluate this model and findyforx = 1.

log(y) =

y =

For an example, review page "13.9 | Log-Linear Models".

Problem Set 7 - Transform a Log-Linear Model into an Exponential Model (Fill in the Blank)

Fill in the Blank : Each correct answer earns 1 point. Please evaluate any powers that may appear in the final result.

Transform the following log-linear models into exponential models.

• log(y)=1+2x

• log(y)=2+x