Product Property of Logs

Front

What is the Product Property of Logs?

Back

The Product Property of Logs states that log_b(xy) = log_b(x) + log_b(y).

Front

Write log_b(x/y) as two logs.

Back

log_b(x) - log_b(y)

Front

Expand the expression: 6log_8(u) - 2log_8(v).

Back

log_8(u^6) - log_8(v^2) = log_8(u^6/v^2).

Front

Condense the expression: log(x) + log(y) + log(z^3).

Back

log(xyz^3).

Front

What is the Quotient Property of Logs?

Back

The Quotient Property of Logs states that log_b(x/y) = log_b(x) - log_b(y).

Front

Expand the expression: log_b(x^3y^2).

Back

3log_b(x) + 2log_b(y).

Front

What is the Power Property of Logs?

Back

The Power Property of Logs states that log_b(x^k) = k * log_b(x).

Front

Condense the expression: 3log_5(a) + 2log_5(b).

Back

log_5(a^3 * b^2).

Front

Expand the expression: log_2(8).

Back

log_2(2^3) = 3log_2(2) = 3.

Front

What is the change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b) for any base k.