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Logarithms and exponents

Logarithms and exponents. See attached file for full problem description.

Q1: Express in log form 82=64

Q2: express in exponential form log4256=4

Q3: find unknown log327=x

Q4: express as sum diff or multiple logarithm
a. log314
b. log2 5/10
c. log5 (n3)
Q5: express as log of single quantity
a. long23 + log22
b. long38 - log32

Q6: determine exact value
a. log2 1/16
b. log2 16

Q7: Use log to base 10 to find natural log 25

Q8: Use log in base 10 to find log586

Q9: Write first 5 terms of sequence A1=5 d=3

Q10: Find nth term of sequence 1,5,9.... N=10

Q11: find sum of n term n=10 a1=5 a10=35

Q12: find common difference "d" in sequence a=4 n=5 a5=24

Q13: write first 3 terms of geometric sequence a1=3 r=2

Q14: find 4th term in geometric sequence 2,6,18 n=4

Q15: find sum of first n terms a1=2 r=5 n=3

Q16: find a4 value a1 =2 r=5 n=4

Attachments

Solution Preview

Please see attached file

Q1: Express in log form
82=64
Solution:

Q2: express in exponential form
log4256=4
Solution:

Q3: find unknown
log327=x
Solution: . Therefore, x = 3.

Q4: express as sum diff or multiple logarithm
a. log314=
b. log2 5/10=
c. log5 (n3)=

Q5: express as log of single quantity
a. long23 + log22 =
b. long38 - log32= ...

Solution Summary

The expert examines logarithms and exponents rule.

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