Properties of logarithms

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

What is the power property of logarithms?

Back

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

Front

Expand log_6(5x^3/y).

Back

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

Front

Condense the expression: 3*log_2(4) + log_2(8).

Back

log_2(4^3 * 8) = log_2(128)

Front

What is the change of base formula for logarithms?

Back

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

Front

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

Back

x = b^3

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

Expand log_8(v^6/u^2).

Back

6*log_8(v) - 2*log_8(u)