Logarithmic Form and Exponential Forms

Front

What are logarithms and exponentials?

Back

Logarithms and exponentials are inverse functions.

Front

Define a logarithm.

Back

A logarithm is the power to which a number must be raised to obtain another number.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power.

Front

Convert the exponential form 2^3 = 8 to logarithmic form.

Back

log₂(8) = 3.

Front

What is the logarithmic form of 10^2 = 100?

Back

log₁₀(100) = 2.

Front

What is the value of log₁₀(1)?

Back

0, because 10^0 = 1.

Front

What is the value of log₁₀(10)?

Back

1, because 10^1 = 10.

Front

If logₐ(b) = c, what does this mean in exponential form?

Back

a^c = b.

Front

What is the change of base formula for logarithms?

Back

logₐ(b) = logₓ(b) / logₓ(a) for any base x.

Front

What is the product rule for logarithms?

Back

logₐ(xy) = logₐ(x) + logₐ(y).