rewriting an expression as a product of its factors
factors
asking for an exponent.
log216
= 4
log99=1
91=9
For the exponential function y = 2x
what is the y-intercept?
(0,1)
An exponential function which decreases as x increases.
Exponential Decay
The graph of a quadratic function
Parabola
log41
=0
log2512=9
29=512
The domain of f (x) = 7x is ..
A. all positive real numbers
B. All real numbers
C. all reals greater than one
B. All real numbers
Write the exponential equation in logarithmic form.
35=243
log3243=5
A function where the base is constant and the exponent is a variable.
Exponential Function
93= 729
3= log9729
log82=1/3
81/3=2
Does this graph represent the function y = 3x+ 2 ? true or false.
true
A logarithm with a base of 10.
Common Logarithm
The exponent to which a specific base is raised to obtain a given value. (Inverse of an exponential function)
Logarithm
loga36=2
a=6
log41/16=-2
4-2=1/16
Which of the following tables displays an exponential function?
A
B
B
Write the logarithmic form in exponential equation.
log12144=2
122=144
a common factor of the terms in the expression with the greater coefficient and the greatest exponent
greatest common factor of an expression
log8 a=-1/3
a=1/2
logb1=0
b0=1
The graph of f (x) = 2x intersects the y-axis.
True or False
true
A logarithm with a base of e
Natural Logarithm