Log Practice Test

Front

What is the exponential form of log₂8 = 3?

Back

2³ = 8

Front

How do you express 2³ = 8 in logarithmic form?

Back

log₂ 8 = 3

Front

Condense the expression: 3Log(x) - Log(2)

Back

log(\frac{3x}{2})

Front

What is the simplified form of log₄4^3x?

Back

3x

Front

Rewrite 3⁴ = 81 in logarithmic form.

Back

log₃81 = 4

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) = \frac{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) for any positive x and y.

Front

What is the quotient rule for logarithms?

Back

log_b(\frac{x}{y}) = log_b(x) - log_b(y) for any positive x and y.

Front

What is the power rule for logarithms?

Back

log_b(xⁿ) = n * log_b(x) for any positive x and n.