Solving Logarithmic Equations Quiz
Quiz
•
Mathematics
•
11th Grade
•
Practice Problem
•
Medium
Standards-aligned
Linda Miragliotta
Used 3+ times
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12 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
15 mins • 8 pts
What is the solution to the equation?
log5(5x + 9) = log5(6x)
x = 9
x = -9
x = 0
x = 1
x = 3
Answer explanation
2.
DRAG AND DROP QUESTION
15 mins • 9 pts
Solve the equation for w.
log9(6−3w) = log9(-2w)
CONDENSE the logarithm.
Use the One-to-One Property: If logbm = logbn, then m = n.
(a) = (b)
SOLVE and CHECK FOR EXTRANEOUS SOLUTIONS.
w = (c)
because
(d)
Answer explanation
3.
DRAG AND DROP QUESTION
15 mins • 9 pts
Solve the equation for a.
3⋅log74 = log7(4a−8)
CONDENSE the logarithm.
log7 (a) = log7(4a−8)
Use the One-to-One Property: If logbm = logbn, then m = n.
(b) = (c)
SOLVE and CHECK FOR EXTRANEOUS SOLUTIONS.
a = (d)
Answer explanation
4.
MULTIPLE SELECT QUESTION
15 mins • 8 pts
Solve for m.
log₄(m²) = log₄(18 - 7m)
Select all correct solutions.
-9
-2
2
9
0
Answer explanation
5.
MULTIPLE SELECT QUESTION
15 mins • 8 pts
Solve for p.
log3(2p−5) = 2⋅log36 − log34
Select all correct solutions.
-7
-2
7
2
0
Answer explanation
6.
MULTIPLE SELECT QUESTION
15 mins • 8 pts
Solve for k.
log 2 + log (k²) = log (k² + 16)
Select all correct solutions.
k = 4
k = -4
k = 2
k = -2
k = 0
Answer explanation
7.
MULTIPLE CHOICE QUESTION
15 mins • 8 pts
Solve for x.
log₃(4x + 8) − 7 = -3
(Remember to check for extraneous solutions!)
x = 14
x = 18
x = 2
Answer explanation
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