SEMESTER I FINAL REVIEW FLASHCARD

Front

Solve for x: 5^x = 17

Back

x = log_5(17)

Front

Condense the expression: log(a) + log(b)

Back

log(ab)

Front

Solve the equation: x^2 - 7x = 0

Back

x = 0 or x = 7

Front

How does f(x) = \frac{1}{x} translate to f(x) = \frac{1}{x+2} - 5?

Back

Shifts left 2 units and down 5 units.

Front

Identify the horizontal asymptote of the function f(x) = \frac{1}{x}

Back

y = 0

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 product rule for logarithms?

Back

log_b(mn) = log_b(m) + log_b(n) for any positive m and n.

Front

What is the quotient rule for logarithms?

Back

log_b(m/n) = log_b(m) - log_b(n) for any positive m and n.

Front

What is the power rule for logarithms?

Back

log_b(m^n) = n * log_b(m) for any positive m and n.

Front

What is an asymptote?

Back

An asymptote is a line that a graph approaches but never touches.