4. Write the following as a single logarithm. log, (x)- 2log, (3x')- log. (x') 5. When the expression log, 6-[log, 2+ log, 4], b> 1, is written in the form log, a, the value of a, to the nearest hundredth, is
4. Write the following as a single logarithm. log, (x)- 2log, (3x')- log. (x') 5. When the expression log, 6-[log, 2+ log, 4], b> 1, is written in the form log, a, the value of a, to the nearest hundredth, is
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please help me with these questions and show your work so i can see how you git the answer! Thanks
![4. Write the following as a single logarithm.
log, (x)– 2log, (3x')- log, (x²)
5. When the expression log, 6-[log, 2+ log, 4], b> 1, is written in the form log, a, the value of a, to
the nearest hundredth, is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc5cf2cf9-3492-4139-b854-7df13f648682%2F8fd589fd-a573-42cc-9be1-01eb3328fc77%2Fwqia9uq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Write the following as a single logarithm.
log, (x)– 2log, (3x')- log, (x²)
5. When the expression log, 6-[log, 2+ log, 4], b> 1, is written in the form log, a, the value of a, to
the nearest hundredth, is
![Math 30-2
Assignment #5 – Logarithm Functions
Name:
1. Write the expression
log 7
into the simplified form of log, b is
log 2
2. Express the logarithmic equation 2log, b=c, where a>1, in exponential form.
3. The growth a particular lizard can is tracked in the following table.
Age
(weeks)
Length
(cm)
4
8
10
12
14
16
18
20
9.4
11.3
13.4
15.3
16.2
17.3
18.5
18.9
19.6
a) State the logarithmic regression to model the data, rounding all values to the nearest hundredth.
b) Determine, to the nearest tenth, the length of the lizard after 30 weeks.
c) How many whole weeks would it take for the lizard to have a length of 25 cm?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc5cf2cf9-3492-4139-b854-7df13f648682%2F8fd589fd-a573-42cc-9be1-01eb3328fc77%2Fvyyhx6o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Math 30-2
Assignment #5 – Logarithm Functions
Name:
1. Write the expression
log 7
into the simplified form of log, b is
log 2
2. Express the logarithmic equation 2log, b=c, where a>1, in exponential form.
3. The growth a particular lizard can is tracked in the following table.
Age
(weeks)
Length
(cm)
4
8
10
12
14
16
18
20
9.4
11.3
13.4
15.3
16.2
17.3
18.5
18.9
19.6
a) State the logarithmic regression to model the data, rounding all values to the nearest hundredth.
b) Determine, to the nearest tenth, the length of the lizard after 30 weeks.
c) How many whole weeks would it take for the lizard to have a length of 25 cm?
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