Log Properties

Front

What is the product property of logarithms?

Back

The product property states that log_b(m * n) = log_b(m) + log_b(n).

Front

What is the quotient property of logarithms?

Back

The quotient property states that log_b(m / n) = log_b(m) - log_b(n).

Front

What is the power property of logarithms?

Back

The power property states that log_b(m^n) = n * log_b(m).

Front

How do you express log_b(m) + log_b(n) as a single logarithm?

Back

log_b(m) + log_b(n) = log_b(m * n).

Front

How do you express log_b(m) - log_b(n) as a single logarithm?

Back

log_b(m) - log_b(n) = log_b(m / n).

Front

What is the change of base formula for logarithms?

Back

The change of base formula states that log_b(a) = log_k(a) / log_k(b) for any positive k.

Front

What is the value of log_b(b)?

Back

log_b(b) = 1, because b raised to the power of 1 equals b.

Front

What is the value of log_b(1)?

Back

log_b(1) = 0, because b raised to the power of 0 equals 1.

Front

How do you simplify log_b(m^n) using the power property?

Back

You can simplify it to n * log_b(m).

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.