CCP College Alg - 6.4 Log Laws

Front

Condense the following logarithm: lnx + ln4

Back

ln 4x

Front

What is log (3^2)?

Back

2 log 3

Front

Logarithmic functions are the inverse of what?

Back

Exponential Functions

Front

What is log (a^2 * b)?

Back

2log(a) + log(b)

Front

Write log_b(xy) as two logs.

Back

log_b(x) + log_b(y)

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^p) = p * log_b(M)

Front

What is the change of base formula?

Back

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

Front

If log_b(a) = c, what does this imply?

Back

b^c = a