Properties of Logarithms Practice

Front

What is the transformation of the logarithmic function f(x) = log(x + 3) - 1?

Back

The function is shifted left 3 units and down 1 unit.

Front

How do you expand the logarithmic expression log_6(5x^3/y)?

Back

log_6(5) + 3*log_6(x) - log_6(y)

Front

How do you condense the expression 2*log_3(11x)?

Back

log_3((11x)^2)

Front

What is the vertical asymptote of the function y = log_2(x - 4)?

Back

The vertical asymptote is at x = 4.

Front

What is the range of the logarithmic function?

Back

(-∞, ∞)

Front

What is the base of a logarithm?

Back

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

Front

What is the change of base formula for logarithms?

Back

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

Front

What is the product property of logarithms?

Back

log_b(mn) = log_b(m) + log_b(n) for any positive m and n.

Front

What is the quotient property of logarithms?

Back

log_b(m/n) = log_b(m) - log_b(n) for any positive m and n.

Front

What is the power property of logarithms?

Back

log_b(m^p) = p * log_b(m) for any positive m and p.