Expand and Condense Logs Practice

Front

What is the product rule for logarithms?

Back

The product rule states that log_b(xy) = log_b(x) + log_b(y).

Front

What is the quotient rule for logarithms?

Back

The quotient rule states that log_b(x/y) = log_b(x) - log_b(y).

Front

What is the power rule for logarithms?

Back

The power rule states that log_b(xⁿ) = n * log_b(x).

Front

How do you condense the expression log_b(x) + log_b(y)?

Back

You can condense it to log_b(xy) using the product rule.

Front

How do you condense the expression log_b(x) - log_b(y)?

Back

You can condense it to log_b(x/y) using the quotient rule.

Front

What is the result of condensing log₅(3) + log₅(6) + log₅(9)?

Back

The result is log₅(162) using the product rule.

Front

What does it mean to expand a logarithmic expression?

Back

Expanding a logarithmic expression means to express it as a sum or difference of logarithms using the product, quotient, and power rules.

Front

Expand the expression log₈(u¹⁵v³).

Back

The expanded form is 15log₈(u) + 3log₈(v) using the power and product rules.

Front

What is the expanded form of 6log₈(u)?

Back

The expanded form is log₈(u⁶) using the power rule.

Front

What is the expanded form of -2log₈(v)?

Back

The expanded form is log₈(v^-2) using the power rule.