Exponents and Logarithms Review

Front

What does the b in log_b A = x represent?

Back

Base

Front

Solve for x: 3^x = 27

Back

x = 3

Front

Write the expression as a single logarithm: log_5 3 + log_5 6 + log_5 9

Back

log_5 162

Front

Write in exponential form: log_2 32 = 5

Back

2^5 = 32

Front

Rewrite log_p t = m in exponential form.

Back

p^m = t

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 change of base formula for logarithms?

Back

log_b a = log_k a / log_k b for any base k.

Front

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

Back

b^c = a

Front

What is the product rule for logarithms?

Back

log_b (xy) = log_b x + log_b y

Front

What is the quotient rule for logarithms?

Back

log_b (x/y) = log_b x - log_b y