Please see the attached file for the fully formatted problems.
1. Convert the following equations into logarithmic form:
a. 9 = 4x
b. 3 = 6y
c. 5 = 7y
d. X = 9y
2. Convert the following equations into exponential form:
a. X = log3 6
b. -5 = log3 y
c. X = log4 y
d. 1000 = log5 Z
Common and Natural Logarithms
1. For the exponentialfunction ex andlogarithmicfunction log x, graphically show the effect if x is doubled.
The exponentialfunction f (x) = e^x
you will also need to graph f (x) = e^(2x).
The common logarithmicfunction f (x) = log x
You will also need to graph f (x) = log (2x).
1. An example of an exponentialfunction is y=8^x. Convert this exponentialfunction to a logarithmicfunction. Plot the graph of both the functions.
2. Graph these two functions
? An exponentialfunction f(x)=6x-2
? A logarithmicfunction f(x)=log9x
3. Look at the graphical representation below and derive
1. Do exponentialfunctions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case.
2. A cell divides into two identical copies every 4 minutes. How many cells will exist after 3 hours?
Many different kinds of data can be modeled using exponentialandlogarithmicfunctions. For example, exponentialfunctions have been used by Thomas Malthus to describe the growth of human populations. Exponential growth has also been used to indicate how property values grow in strong real estate markets.
For this Discussion
Evaluate the functions for the value of x given as 1,2,4,8,and 16. Describe the difference in the rate at which each function changes with increasing value of x; rank the function from fastest-growing to slowest-growing?
5) f(x)=log x
Given the following values 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, x, and y, form:
A linear equation in one variable
A linear equation in two variables (must have in at least 3 terms)
A quadratic equation (must have in at least 3 terms)
A polynomial function of three terms
A logarithmic func