Properties of logarithmic functions

Front

What is the value of log_b(b)?

Back

1

Front

How can you rewrite log_b(x^n)?

Back

n log_b(x)

Front

What is the expression for log_b(x/y) in terms of two logarithms?

Back

log_b(x) - log_b(y)

Front

What is the simplified form of e^(ln(x))?

Back

x

Front

How do you express log 6 - log 3 + 2 log 7 as a single logarithm?

Back

log 98

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)

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^n) = n log_b(x)

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.