Converting Logarithms and Exponentials

Front

What is the definition of a logarithm?

Back

Front

Convert the logarithmic equation log₅25 = x to exponential form.

Back

The exponential form is 5^x = 25.

Front

Evaluate log₅25.

Back

2, because 5² = 25.

Front

What is the change of base formula for logarithms?

Back

Front

What is the product property of logarithms?

Back

Front

What is the quotient property of logarithms?

Back

Front

What is the power property of logarithms?

Back

Front

Convert the equation log₃₆1 = 0 to exponential form.

Back

The exponential form is 36⁰ = 1.

Front

Solve for x: 2^{3x + 1} = 32.

Back

x = 4/3.

Front

What is the definition of an exponential function?

Back