AlgII 10.4-10.5 Common Logs and Natural Logs

Front

What is the value of log 1?

Back

x = 0

Front

How are exponentials and logarithms related?

Back

They're inverses.

Front

Evaluate the log using change of base: log_9 27

Back

3/2

Front

What is the base of the common logarithm?

Back

10

Front

What is log with a base 'e' equivalent to?

Back

Natural Logarithm (LN)

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 natural logarithm of 'e'?

Back

1

Front

If log_b(a) = c, what does this mean in exponential form?

Back

b^c = a

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 value of log_10(100)?

Back

2