Logarithms

Front

What is the value of log₄1?

Back

0

Front

Evaluate: log₄16

Back

2

Front

Condense: 7log v + 3log w

Back

log v^7w^3

Front

If log₁₈27 = log₁₈r, what is the value of r?

Back

27

Front

If log₁₀(r-8) = log₁₀14, what is the value of r?

Back

22

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 change of base formula for logarithms?

Back

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

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).

Front

What is the power rule for logarithms?

Back

log_b(xⁿ) = n * log_b(x).