Exponential and logarithmic function questions.

[Gaayathri Ganesh]

Question 5


Question 8

 

[Harry_the_cat]

Nice questions!
If you read the rules for this forum, you'll see that you won't receive any help if you don't show your attempts and tell us where you are stuck.
Also one question per post.
Attend to those matters and we are happy to help. This a is a help site not a "we'll do it for you for free" site.

 

[Deleted member 4993]

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Question 5
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Question 8
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Please post 1 problem/thread. So split the following 3 problems into 3 separate threads and re-post.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem.

 

[Gaayathri Ganesh]

Thanks.

 

[Otis]

Thanks.

Hi Gaayathri. Regarding #5, are you familiar with the binomial theorem (also known as binomial expansion)?

?

 

[Steven G]

Please post 1 problem/thread. So split the following 3 problems into 3 separate threads and re-post.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem.
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py₁ - py₂ = (e^2x+3)/e^x

p(e^x+e^-x)/2 - q(e^x-e^-x)/2 = (e^2x+3)/e^x

Multiplying both sides by 2e^x yields
p(e^2x + 1) - q((e^2x - 1) = 2(e^2x+3)

Now it is easy to see that p-q=2 and p+q = 6