Log Happiness

Front

What is the logarithmic identity for log(x^n)?

Back

log(x^n) = n * log(x)

Front

What is the logarithmic identity for log(a*b)?

Back

log(a*b) = log(a) + log(b)

Front

What is the logarithmic identity for log(a/b)?

Back

log(a/b) = log(a) - log(b)

Front

What is the logarithmic identity for log(a^b)?

Back

log(a^b) = b * log(a)

Front

What is the natural logarithm of a product, ln(xy)?

Back

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

Front

What is the natural logarithm of a quotient, ln(x/y)?

Back

ln(x/y) = ln(x) - ln(y)

Front

What is the natural logarithm of a power, ln(x^n)?

Back

ln(x^n) = n * ln(x)

Front

What is the relationship between logarithmic functions and exponential functions?

Back

Logarithmic functions are the inverse of exponential functions.

Front

What is the value of log(10)?

Back

log(10) = 1 (base 10) or ln(10) = log_e(10) (natural logarithm) depending on the base.

Front

What is the change of base formula for logarithms?

Back

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