Unit 4 Exponential Functions and Logarithms Review

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3 81 = 4

Front

What is the transformation of f(x)=2(1/2)^x-7?

Back

Stretch by 2, down 7

Front

Use the properties of logarithms to rewrite as the difference of two logs: log_5 45.

Back

log_5 90 - log_5 2

Front

Use the properties of logarithms to rewrite as the sum of two logarithms: log 55.

Back

log 11 + log 5

Front

How much would Zion earn on a deposit of $10,000 one year at 5.12% compounded daily?

Back

$525.30

Front

What is the definition of an exponential function?

Back

A function of the form f(x) = a * b^x, where a > 0 and b > 0.

Front

What is the base of a logarithm?

Back

The base is the number that is raised to a power to obtain a given value.

Front

What is the change of base formula for logarithms?

Back

log_b a = log_k a / log_k b for any base k.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, for any two points x1 and x2 where x1 < x2, f(x1) < f(x2).

Front

What is the inverse of an exponential function?

Back

The inverse is a logarithmic function.