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10th
-
12th
grade

Mathematics

100%

accuracy

1

play

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3 years

Mathematics

10th -

12thgrade

Homework #5 - Properties of logarithmic functions

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11 questions

11 questions

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1. Multiple Choice
1 minute
1 pt
Write log_b(xy) as two logs
log_bx+log_by
log_bx-log_by
log_bx*log_by
log_bx/log_by
2. Multiple Choice
45 seconds
1 pt
Write log_b(x/y) as two logs
log_bx-log_by
log_bx+log_by
log_bx*log_by
log_bx/log_by
3. Multiple Choice
1.5 minutes
1 pt
Evaluate log_b(b)
-1
0
1
b
4. Multiple Choice
1 minute
1 pt
Log with a base "e" (log_e) is the same thing as...
"e"
Natural Logarithm (LN)
Common Logarithm (Log)
Natural Log, base "e"
LN_e
5. Multiple Choice
1 minute
1 pt
Simplify e^ln(x)
0
1
x
8
6. Multiple Choice
45 seconds
1 pt
Simplify log₄4^3x
3x
3
4
4^3x
7. Multiple Choice
5 minutes
1 pt
Rewrite 3⁴ = 81 in logarithmic form.
log₃4 = 81
log₈₁3 = 4
log₃81 = 4
log₄81 = 3
8. Multiple Choice
1 minute
1 pt
Rewrite log_b(xⁿ)
nlog_bx
(log_bx)ⁿ
xⁿlog_bx
log_b(xⁿ)
9. Multiple Choice
1 minute
1 pt
Write the expression as a single logarithm. Then simplify if possible.
log₅3 + log₅6 + log₅9
log₅69
log₅56
log₅162
log₅98
10. Multiple Choice
1 minute
1 pt
Write the expression as a single logarithm. Then simplify if possible.
log 6 - log 3 + 2 log 7
log 98
log 78
log 56
log 45
11. Multiple Choice
1 minute
1 pt
The common logarithm has what base?
10
0
e
-e
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