Unit 5 Test

Front

What is the solution for x in the equation 3x + 5 = 11?

Back

x = 2

Front

Define the y-intercept of a function.

Back

The y-intercept is the point where the graph of a function intersects the y-axis, represented as (0, f(0)).

Front

What is the transformation of the function f(x) = log_b(x) when translated 6 units left and 4 units up?

Back

g(x) = log_b(x + 6) + 4

Front

Rewrite the exponential equation 2^3 = 8 in logarithmic form.

Back

log_2(8) = 3

Front

Solve for x: log_10(x) = 2.

Back

x = 100

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a given number, denoted as log_b(a) where b is the base.

Front

If log_3(27) = x, what is the value of x?

Back

x = 3 because 3^3 = 27.

Front

What is the product rule of logarithms?

Back

The product rule states that log_b(m * n) = log_b(m) + log_b(n).

Front

Solve for x: log_5(x + 3) = log_5(x) + log_5(3).

Back

x = 3/2.

Front

What is the quotient rule of logarithms?

Back

The quotient rule states that log_b(m/n) = log_b(m) - log_b(n).