Properties of Logs Practice

Front

What is the property of logarithms that allows you to write log_b(x/y) as two logs?

Back

log_b(x) - log_b(y)

Front

How do you express log(3x)^2 using logarithmic properties?

Back

log(9) + 2log(x)

Front

What is the result of condensing log(16) + log(2) - log(8)?

Back

log(4)

Front

How can you express log(xy^2) using logarithmic properties?

Back

log(x) + 2log(y)

Front

What are logarithmic functions the inverse of?

Back

Exponential Functions

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 property of logarithms?

Back

log_b(xy) = log_b(x) + log_b(y) for any positive x and y.

Front

What is the quotient property of logarithms?

Back

log_b(x/y) = log_b(x) - log_b(y) for any positive x and y.

Front

What is the power property of logarithms?

Back

log_b(x^k) = k * log_b(x) for any positive x and k.

Front

If log_b(x) = 3, what is the value of x?

Back

x = b^3