Expanding and Condensing Logarithms

Front

What is the product rule of logarithms?

Back

log_b(MN) = log_b(M) + log_b(N)

Front

What is the quotient rule of logarithms?

Back

log_b(M/N) = log_b(M) - log_b(N)

Front

What is the power rule of logarithms?

Back

log_b(M^k) = k * log_b(M)

Front

Condense: 2log_8(u) + 3log_8(v)

Back

log_8(u^2 * v^3)

Front

Expand: log_8(x^4)

Back

4log_8(x)

Front

Condense: log_8(x) + log_8(y) - log_8(z)

Back

log_8(xy/z)

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

Condense: 5log_8(u) - log_8(v)

Back

log_8(u^5/v)

Front

Expand: log_8(xy)

Back

log_8(x) + log_8(y)

Front

What does log_b(M + N) equal?

Back

It does not equal log_b(M) + log_b(N). This is false.