Law of Logs

Front

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

Back

ln(a) + ln(b)

Front

What is the base of the common logarithm?

Back

10

Front

What is the logarithmic identity for log_b(a) + log_b(c)?

Back

log_b(a*c)

Front

What is the logarithmic identity for log_b(a) - log_b(c)?

Back

log_b(a/c)

Front

What is the logarithmic identity for k*log_b(a)?

Back

log_b(a^k)

Front

What is the value of ln(e)?

Back

1

Front

What is the value of log_10(10)?

Back

1

Front

Condense the expression: log_5(4) + log_5(3). What is the result?

Back

log_5(12)

Front

Condense the expression: 3*log_2(x) + 2*log_2(y) - 4*log_2(z). What is the result?

Back

log_2(x^3 * y^2 / z^4)

Front

What is the change of base formula for logarithms?

Back

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