Front

Back

x = -\frac{1}{4}

Front

Condense: log16 + log2 - log8

Back

log4

Front

Let w(x)=8^x, find w(-2).

Back

w(-2) = \frac{1}{64}

Tags

CCSS.HSF-IF.C.8B

Front

If f(x)=log_3x, evaluate f^{-1}(4).

Back

f^{-1}(4) = 81

Tags

CCSS.HSF-BF.B.4A

Front

Rory invested $2,000 in savings bonds. If the bonds earn 3.75% interest compounded monthly, how much total will Riley earn in 25 years?

Back

$5,099.72

Front

What is the definition of an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the variable.

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 value. For example, in log_b(a), b is the base.

Tags

CCSS.HSF.BF.B.5

Front

What is the change of base formula for logarithms?

Back

The change of base formula states that log_b(a) = \frac{log_k(a)}{log_k(b)} for any positive k.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never takes the same value twice; that is, f(a) = f(b) implies a = b.

Front

What is the inverse of an exponential function?

Back

The inverse of an exponential function is a logarithmic function.

Tags

CCSS.HSF-BF.B.4A