Spiral #12 (Algebra 2)

Front

What is the product property of logarithms?

Back

log_b(xy) = log_b(x) + log_b(y)

Front

What is the quotient property of logarithms?

Back

log_b(x/y) = log_b(x) - log_b(y)

Front

How do you expand log_b(x^n)?

Back

log_b(x^n) = n * log_b(x)

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 definition of a logarithm?

Back

If b^y = x, then log_b(x) = y, where b > 0 and b ≠ 1.

Front

What is the value of log_b(b)?

Back

log_b(b) = 1.

Front

What is the value of log_b(1)?

Back

log_b(1) = 0.

Front

How do you rewrite log_b(x) + log_b(y) as a single logarithm?

Back

log_b(x) + log_b(y) = log_b(xy).

Front

How do you rewrite log_b(x) - log_b(y) as a single logarithm?

Back

log_b(x) - log_b(y) = log_b(x/y).

Front

What is the value of log_5(625)?

Back

log_5(625) = 4.