Logarithms Property Flashcard

Front

What is the value of log₄1?

Back

0

Front

Evaluate the expression log₄16.

Back

2

Front

What is log₇7³?

Back

3

Front

Which of the following is NOT equivalent to log₂16?

Back

All of these are equivalent

Front

Evaluate the logarithm log₅(1/625).

Back

-4

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.

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(xⁿ) = n * log_b(x).