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
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-> 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
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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
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
