Solving Logarithmic Equations Worksheet With Answer Key Page 4
ADVERTISEMENT
1
2
3
4Example 7
Graph y ≥ log
x - 4.
3
The boundary for the inequality y ≥ log
x - 4 can be written as y = log
x - 4. Rewrite this equation in
3
3
exponential form.
y
= log
x - 4
3
y + 4
= log
x
3
y + 4
3
= x
Use a table of values to graph the boundary.
y
y + 4
x
(x, y)
-7
-3
0.037
(0.037, -7)
-6
-2
0.111
(0.111, -6)
-5
-1
0.333
(0.333, -5)
-4
0
1
(1, -4)
-3
1
3
(3, -3)
-2
2
9
(9, -2)
-1
3
27
(27, -1)
Test a point, for example (0, 0), to determine which region to shade.
y + 4
≥ 0
0 + 4
≥ 0
3
3
True
Shade the region that contains the point at (0, 0). However, since values of x ≤ 0 yield extraneous
solutions, only shade above the curve in quadrants I and IV.
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education