Functions and Formulas
Calculate for x
Exponential and logarithmic properties
Logarithmic expressions & equations
Exponential and Logarithmic functions
100
What is a function
A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.
100

The solution to 22x=16

What is 2.

100

   Log3 81=4 written in exponential form

What is 34 = 81?

100
The base value of a common log.

 
What is 10?

100

 The solution to 4x+7=5

What is no solution?

200
rate of change?
The change in the value of a quantity divided by the elapsed time. For a function, this is the change in the y-value divided by the change in the x-value for two distinct points on the graph. Note: This is the same thing as the slope of the secant line that passes through the two points.
200

The solution to 0.60 = (0.99)x

What is x = 50.827?

200

53=125 written in logarithmic form

What is log5 125=3?

200

The value of

What is 5/3?

200

Written in a single logarithm.

What is

300

What is the formula for compound interest?

A=P(1+i)^n

300

The solution to log2x+Log2(x-3)=2

What is?

300

The vertical asymptote of


What is x = 5?

300

written in a single logarithm

what is Log 32?

300

The difference between common log and natural log.

What is base 10 versus base e (2.718)?


Or 7.282

400

In what order are transformations performed?

RST: reflections and stretches (expansion or compressions) before all translations

400

The solution to

What is

400

The equation of the function that results from a vertical stretch by a factor of 3, a reflection in the x-axis and a vertical translation 2 units down.

What is?

400

The solution to

What is 3?

400

is the simple form of
.

What is 164?

500

If you are given the graphs or equations of two functions how can you create a new function?

by adding, subtracting or multiplying the two given functions

500

The solution to Log5(x+2)-Log5(x)=2

What is 1/12?

500

The domain of log[(x+5)/(x-2)]

What is x>2?

500

Written in expanded form


500

Is the solution to 

What is 0.53?