Logarithms!

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. For example, if b^y = x, then log_b(x) = y.

Front

What is the value of log_27(3)?

Back

1/3

Front

What is the value of log_5(5)?

Back

1

Front

What is the value of log_4(0.5)?

Back

-1/2

Front

What is the value of log_6(6)?

Back

1

Front

What is the value of log_8(4)?

Back

2/3

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 relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation. If b^y = x, then log_b(x) = y.

Front

What is the value of log_b(b)?

Back

1, for any base b.

Front

What is the value of log_b(1)?

Back

0, for any base b.