Log Rules

Front

Logarithmic functions are the inverse of...

Back

Exponential Functions

Front

log(3x)^2 = ?

Back

2(log3 + logx)

Front

log(2 / 3) = ?

Back

log 2 - log 3

Front

log(3^2) = ?

Back

2 log 3

Front

Write log_b(x/y) 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^n) = n * 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 x = y, what is x in terms of b and y?

Back

x = b^y