Logarithm Properties and log review

Front

What is the property of logarithms that allows you to condense multiple logarithmic expressions into one?

Back

Front

Condense the expression: -3ln(x) + 2ln(y) + 4ln(z)

Back

Front

What is the asymptote of the function f(x) = log(x - 1)?

Back

The vertical asymptote is at x = 1.

Front

Simplify the expression e^ln(74)

Back

The simplified expression is 74.

Front

What is the domain of the function f(x) = log(x + 3)?

Back

The domain is x > -3.

Front

Expand the expression: 5log_5(a) - 6log_5(b)

Back

The expanded expression is 5log_5(a) - 30log_5(b).

Front

What is the product rule of logarithms?

Back

Front

What is the quotient rule of logarithms?

Back

Front

What is the power rule of logarithms?

Back

Front

If log_b(x) = 3, what is x in terms of b?

Back

x = b^3.