Properties of Logarithms & Log Equations

Front

What is the base of the common logarithm?

Back

10

Front

True or False: log 12 - log 4 = log 8

Back

False

Front

Expand: log_3(9x^2)

Back

2 + 2log_3(x)

Front

What is log_5(25)?

Back

2

Front

Write as a single logarithm: log12 + 2logx

Back

log(12x^2)

Front

What is the product property of logarithms?

Back

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

Front

What is the quotient property of logarithms?

Back

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

Front

What is the power property of logarithms?

Back

log_b(M^p) = p * log_b(M)

Front

If log_b(x) = y, what is the equivalent exponential form?

Back

b^y = x

Front

What is the change of base formula for logarithms?

Back

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