Unit 2 - Logarithmic Functions Vocab

What is a logarithm

• The inverse of an exponential function is called a logarithm function

• a^x=b is logba=x

• The base of a log and the base of an exponent match

• Three parts of argument include the base, argument, slope

• Three parts of argument include the base, argument, answer

What is the inverse of b^x

• log.bX=f^-1(x)

• b=x=f(x)

• log

Inverse?

• 15^x

• 3^x

When graphing the inverse (expos and logs) what happens to their x's and y's

• They flip!

• Flop

• Switch!

• stay the same

The base of an exponential is the same as a log.

• Yes

• no

Inputs and Outputs Swap when writing equation of either inverse.

• The Argument and the answer

• The base and the answer

When an argument is a fraction, the exponent is

• The exponent is a negative

• The exponent is a positive

logba=1

• When the base is the same as the argument

• When the solution is the same the base

logb1=0

• yes

• no

logb^b^n=n

• yes

• no