Test Logarithms and Exponentials

Front

What is the base of the common logarithm?

Back

10

Front

What are logarithms and exponentials in relation to each other?

Back

Inverses

Front

Evaluate (1/6)^x = 216.

Back

x = -3

Front

Solve for x: log_x 25 = 2.

Back

x = 5

Front

Write in exponential form: log_2 32 = 5.

Back

2^5 = 32

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 relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.

Front

Convert the exponential equation 3^x = 81 to logarithmic form.

Back

log_3 81 = x.

Front

What is the value of log_10 1000?

Back

3 (because 10^3 = 1000).

Front

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

Back

b^c = a.