Logs and Radicals Review

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3 81 = 4

Front

Solve for x: 2√[ ]{x} = 8.

Back

x = 16

Front

Write in exponential form: log_2 32 = 5.

Back

2^5 = 32

Front

Solve for v: √{v-5} = √{23-v}.

Back

v = 14

Front

Condense the logarithm: log_a b + log_a c = ?

Back

log_a (b * c)

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

Convert log_10 100 = 2 to exponential form.

Back

10^2 = 100

Front

What is the product rule of logarithms?

Back

log_a (b * c) = log_a b + log_a c

Front

What is the quotient rule of logarithms?

Back

log_a (b / c) = log_a b - log_a c

Front

What is the power rule of logarithms?

Back

log_a (b^c) = c * log_a b