Log Happiness

Front

What is the logarithmic identity for log(xy^2)?

Back

log(xy^2) = log(x) + 2log(y)

Front

What is the natural logarithm of the product 4xy?

Back

ln(4xy) = ln(4) + ln(x) + ln(y)

Front

Logarithmic functions are the inverse of which type of functions?

Back

Exponential Functions

Front

What is the expression for log(3x)^2?

Back

log(3x)^2 = 2(log(3) + log(x))

Front

What is the logarithmic expression for log(4x)?

Back

log(4x) = log(4) + log(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.

Front

What is the product rule for logarithms?

Back

log_b(mn) = log_b(m) + log_b(n) for any positive m and n.

Front

What is the quotient rule for logarithms?

Back

log_b(m/n) = log_b(m) - log_b(n) for any positive m and n.

Front

What is the power rule for logarithms?

Back

log_b(m^p) = p * log_b(m) for any positive m and real number p.

Front

What is the value of log(1)?

Back

log(1) = 0 for any base.