Logarithms

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3(81) = 4

Front

Write in exponential form: log_2(32) = 5

Back

2^5 = 32

Front

Write in logarithmic form: 2^-4 = 1/16

Back

log_2(1/16) = -4

Front

Evaluate log_4(1)

Back

0

Front

State the property used to simplify: log_4(20) - 3log_4(x) = log_4(20/x^3)

Back

Quotient and Power Property

Front

Define 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 in a logarithmic expression log_b(a)?

Back

The base 'b' is the number that is raised to a power.

Front

What is the relationship between exponents and logarithms?

Back

If b^y = x, then log_b(x) = y.

Front

What is the Power Property of logarithms?

Back

log_b(a^n) = n * log_b(a) for any positive a, b, and n.

Front

What is the Quotient Property of logarithms?

Back

log_b(a/c) = log_b(a) - log_b(c) for any positive a, b, and c.