Logarithms

Concepts

100

The inverse of a logarithmic function

What is exponential function?

200

The base of a common logarithm

What is 10?

300

The base of a natural log

What is e?

400

The value of an exponent in a logarithmic function

What is the output?

500

The value of the output from a logarithmic expression is always equal to this part of an exponential equation.

What is the exponent?

Logarithmic Form

100

Write b^x=y in logarithmic form

What is log_b(y)=x?

200

Write 10^5x=y in logarithmic form

What is log(y)=5x?

300

Write e¹⁰=22026 in logarithmic form

What is ln(22026)=10?

400

Write 11^-2=0.00826 in logarithmic form

What is log₁₁(0.00826)=-2?

500

Write -20000³=y in logarithmic form

What is undefined?

Exponential Form

100

Write log_b(x)=y in exponential form

What is b^y=x?

200

Write ln(4x)=y in exponential form

What is e^y=4x?

300

Write log_20(x)=2 in exponential form

What is 20^2=x?

400

Write log_5(-2)=y in exponential form

What is undefined?

500

Write log_2(x)=-f(x) in exponential form

What is 2^-f(x)=x?

Evaluating

100

Evaluate log(100)

What is 2?

200

Evaluate ln(e⁵)

What is 5?

300

Evaluate log₄(64)

What is 3?

400

Evaluate ln81/ln3

What is 4?

500

Evaluate log(40) to two decimal places

What is 1.60?

Identifying

100

The base in log(x)=y

What is 10?

200

The base of a log in 20^x=400

What is 20?

300

The argument in log_2(4x)=y

What is 4x?

400

The argument of a log in 4^3x=2y

What is 2y?

500

The base in ln(x)=10

What is e?