DiffAdv S2 Final Review

Front

What is the value of log₅25?

Back

2

Front

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

Back

log₂(¹/₁₆) = -4

Front

Multiply: (x - 4)(x² + 9x - 7).

Back

x³ + 5x² - 43x + 28

Front

Back

logx - logy

Front

What is the factored form of the graph represented by f(x)?

Back

f(x) = (x + 4)(x + 1)²(x - 2)(x - 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).

Front

What is the quotient rule for logarithms?

Back

log_b(\frac{x}{y}) = log_b(x) - log_b(y).

Front

What is the power rule for logarithms?

Back

log_b(xⁿ) = n * log_b(x).