Test Logarithms and Exponentials

Front

What are Logarithms and Exponentials?

Back

Inverses of each other.

Front

Evaluate (1/6)^x = 216

Back

x = -3

Front

Evaluate log_5(5)

Back

1

Front

Rewrite log_p(t) = m in exponential form.

Back

p^m = t

Front

Evaluate 3 log_2(4)

Back

6

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 base of a logarithm?

Back

The base is the number that is raised to a power in a logarithmic expression.

Front

If log_b(a) = c, what is the equivalent exponential form?

Back

b^c = a

Front

What is the value of log_10(1000)?

Back

3

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.