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Rewrite each log expression as an exponential. Then solve for x.
PRACTICE
(1) log 32 = 𝑥
(2) log
_________
____
REWRITE
X
(5) log 𝑥 = 4
_________
____
REWRITE
X
(6) log 𝑥 =
_________
____
REWRITE
X
(9) log
(3) log 9 = 𝑥
=𝑥
10 = 𝑥
_________
____
_________
____
REWRITE
X
REWRITE
X
(7) log
_________
____
REWRITE
X
(10) log 2 = 𝑥
(4) log 0 = 𝑥
= −4
_________
____
REWRITE
X
(11) log 4 = 3
(8) log 𝑥 = 0
_________
____
REWRITE
X
(12) log 𝑥 = 2
_________
____
_________
____
_________
____
_________
____
REWRITE
X
REWRITE
X
REWRITE
X
REWRITE
X
(13) log 2 = −1
(14) log
_________
____
REWRITE
X
PRACTICE
_________
____
REWRITE
X
(16) log 𝑥 = 3/2
(15) log 𝑥 =
_________
____
_________
____
REWRITE
X
REWRITE
X
Rewrite each exponential expression as a log. Then solve for x.
(17) 3 = 3
(18) 𝑥 = 243
_________
____
REWRITE
X
(21) 8 = 4
____
REWRITE
X
____
REWRITE
X
/
=𝑥
(20) 15 = 𝑥
=
(19)
_________
(22) 49
_________
PRACTICE
27 = 𝑥
/
_________
____
REWRITE
X
(23) 𝑥
/
=2
_________
____
REWRITE
X
(24)
_________
____
_________
____
REWRITE
X
REWRITE
X
=𝑥
_________
____
REWRITE
X
Consider each equation. Determine the minimum and maximum integer values of x.
(25) If log
29 = 𝑥, then x must be between ____ and ____.
WHY?
___________________________
(26) If log
625 = 𝑥, then x must be between ____ and ____.
WHY?
___________________________
(27) If log
0.5 = 𝑥, then x must be between ____ and ____.
WHY?
___________________________
(28) If log
= 𝑥, then x must be exactly ____.
WHY?
___________________________
REVIEW
(29) If the graph of 𝑦 = (𝑥 − 4) − 1 is shifted up 3 units and to
the left 3 units, write an equation that represents the transformed parabola. ____________________
REVIEW
Write an inverse equation for each relation.
(30) 𝑦 = 2(𝑥 − 1) + 2 (31) 𝑦 = 2√𝑥 − 3 + 4
________________
REVIEW
________________
(
)
+ 4
________________
Write an equation or inequality to represent each graph.
(33)
EQ’N:
(32) 𝑦 =
(34)
____________
INEQ:
(35)
____________
INEQ:
(36)
____________
EQ’N:
____________
REVIEW
(37) Mrs. Simmerglimmer is responsible for picking up coffee for her
officemates in the morning. On Wednesday, she purchased 2 lattes and 3 mochas,
totaling $9. On Thursday, she purchased 3 lattes and 4 mochas, totaling $12.50.
If today she will be purchasing 6 lattes and 2 mochas, how much will she spend?
___________
REVIEW
Consider the following function tables.
(38) 𝑓 𝑔(3)
_________
(39) 𝑔 𝑓(1)
(40) 𝑓 𝑓(5)
_________
(41) 𝑓(𝑔 𝑓(1)
REVIEW
(42)
CHALLENGE
_________
_________
x
1
2
3
4
5
f(x)
3
4
5
6
7
x
3
4
5
6
7
g(x)
4
6
8
10
12
Simplify each expression.
_______
(43)
(
)
_______
(44)
(
_______
)
Use the picture at right for questions (45) through (47).
y
(45) Solve for x and y.
x=______
60°
y=______
5
x
(46) Find the perimeter of the triangle. ______
(47) Find the area of the triangle. ______
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