Log Flashcard- Reardon

Front

Write log_b(xy) as two logs

Back

log_b(x) + log_b(y)

Front

Write ln(\frac{2x^2y}{z^4}) as separate logs

Back

ln(2) + 2ln(x) + ln(y) - 4ln(z)

Front

Write log_b(x/y) as two logs

Back

log_b(x) - log_b(y)

Front

Which property of logarithms is demonstrated by log_9(20) = \frac{log(20)}{log(9)}?

Back

Change of Base Property

Front

What is the base of the common logarithm?

Back

10

Front

What is the product property of logarithms?

Back

log_b(xy) = log_b(x) + log_b(y)

Front

What is the quotient property of logarithms?

Back

log_b(x/y) = log_b(x) - log_b(y)

Front

What is the power property of logarithms?

Back

log_b(x^k) = k * log_b(x)

Front

What is the natural logarithm base?

Back

e (approximately 2.718)

Front

Convert log_2(8) to exponential form.

Back

2^3 = 8