Base e and Natural Logarithms (4/5/22)
Presentation
•
Mathematics
•
11th Grade
•
Practice Problem
•
Medium
Standards-aligned
Jorge Suarez
Used 11+ times
FREE Resource
12 Slides • 6 Questions
1
Mr. Suarez (Algebra 2)
2
EX #1: Solve the logarithm
3
EX #1: Solve the logarithm
ln(x) = 5
4
EX #1: Solve the logarithm
ln(x) = 5
eln(x) = e5
5
EX #1: Solve the logarithm
ln(x) = 5
eln(x) = e5
x = e5 (Exact solution)
6
EX #1: Solve the logarithm
ln(x) = 5
eln(x) = e5
x = e5 (Exact solution)
x = 148.4132 (Approximate solution)
7
Multiple Choice
Solve the following logarithm to find the exact answer.
ln(x)=3
x = e3
x = ex
3 = ex
3 = e-3
8
Multiple Choice
Solve the following logarithm to find the approximate answer.
Round to 4 decimal places.
ln(x)=3
x = 20.0855
x = 0.0498
x = 3
x = 0.3333
9
Multiple Choice
Solve the following logarithm to find the exact answer.
ln(x)=21
x = e1/2
x = e-2
1/2 = ex
2 = e-1/2
10
Multiple Choice
Solve the following logarithm to find the approximate answer.
Round to 4 decimal places.
ln(x)=21
x = 1.6487
x = -1.6487
x = 1/2
x = 2
11
Multiple Choice
Solve the following logarithm to find the exact answer.
ln(x)=−4
x = e-4
x = e4
4 = ex
1/4 = e-4
12
Multiple Choice
Solve the following logarithm to find the approximate answer.
Round to 4 decimal places.
ln(x)=−4
x = 0.0183
x = 1.0183
x = 1/4
x = -4
13
EX #2: Solve the logarithm
ln(x + 15) = 3
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EX #2: Solve the logarithm
ln(x + 15) = 3
eln(x + 15) = e3
15
EX #2: Solve the logarithm
ln(x + 15) = 3
eln(x + 15) = e3
x + 15 = e3
-15 -15
16
EX #2: Solve the logarithm
ln(x + 15) = 3
eln(x + 15) = e3
x + 15 = e3
_ -15 -15
x = e3 - 15
17
EX #2: Solve the logarithm
ln(x + 15) = 3
eln(x + 15) = e3
x + 15 = e3
__-15 -15
x = e3 - 15
x = e3 - 15 (Exact solution)
18
EX #2: Solve the logarithm
ln(x + 15) = 3
eln(x + 15) = e3
x + 15 = e3
__-15 -15
x = e3 - 15
x = e3 - 15 (Exact solution)
x = 5.0855 (Approximate solution)
Mr. Suarez (Algebra 2)
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