SOLUTION: evaluate the exponential equation for three positive values of x, three negative values of x and at x=0; transform the second expression into the equivalent lagarithmic equation; a
Algebra.Com
Question 315266: evaluate the exponential equation for three positive values of x, three negative values of x and at x=0; transform the second expression into the equivalent lagarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. show your work. use the resulting ordered pairs to plot the graph of each function;
y= 2^x+2
x= 4^y+2
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
: evaluate the exponential equation for three positive values of x, three negative values of x and at x=0;
y = 2^x + 2
:
Three positive values for x
x=2
y = 2^2 + 2
y = 5
:
x=3
y = 2^3 + 2
y = 8 + 2
y = 10
:
x=4
y = 2^4 + 2
y = 16 + 2
y = 18
:
Three negative values for x
x=-2
y = 2^-2 + 2
y = .25 + 2
y = 2.25
:
x=-3
y = 2^-3 + 2
y = .125 + 2
y = 2.125
:
x=-4
y = 2^4 + 2
y = .0625 + 2
y = 2.0625
:
Chart
x | y
------
-4 | 2.0625
-3 | 2.125
-2 | 2.25
2 | 5
3 | 10
4 | 18
The graph
:
:
transform the second expression into the equivalent logarithmic equation;
and evaluate the logarithmic equation for three values of x that are greater
than 1, three values of x that are between 0 and 1, and at x=1.
show your work. use the resulting ordered pairs to plot the graph of each function;
x = 4^y+2
4^y = x - 2
ln(4^y) = ln(x-2)
y*ln(4) = ln(x-2)
y =
:
For 3 values greater than 1
x=3
y =
y =
y =
y = 0
:
x=4
y =
y =
y = .5
:
x=6
y =
y =
y = 1
:
You cannot evaluate any values 2 or below (log of a negative number)
:
Chart
x | y
------
3 | 0
4 | .5
6 | 1
The graph
RELATED QUESTIONS
evaluate the exponential equation for three positive values of x, three negative values... (answered by drk,JBarnum)
Evaluate the exponential equation for three positive values of x, three negative values... (answered by drk)
Can someone help me figure this problem out, I am so lost....Evaluate the exponential... (answered by solver91311)
Evaluate the exponential function for three positive values of x, three negative values... (answered by stanbon)
Evaluate the exponential equation for three postive values of x, three negative values of (answered by solver91311)
Evaluate the exponential equation for three positive values of x, three negative values... (answered by Fombitz)
Can someone help me with these two questions? Thanks
1. Evaluate the exponential... (answered by Theo)
Evaluate the exponential equation for three positive values of x, three negative values... (answered by richwmiller)
Can someone please, please help me with this problem?
Evaluate the exponential equation... (answered by richwmiller)