Omnimaga

Calculator Community => TI Calculators => Topic started by: Kyle Kelly on April 10, 2019, 06:10:36 am

Title: Properties of logarithms on the TI nspire
Post by: Kyle Kelly on April 10, 2019, 06:10:36 am
Is it possible to make the TI-nspire apply properties of logarithms in order to rewrite multiple logs as one (the sum) or rewriting one log as multiple logs (the difference)?

I would assume the CAS version would be able to do this but I can't for the life of me figure out how. Is the feature built in the calculator or would you have to program it?
Title: Re: Properties of logarithms on the TI nspire
Post by: Xeda112358 on April 10, 2019, 10:33:22 am
I think the nspire can collapse multiple logs into one (normal behavior), but extracting you'd have to program it yourself. If it is just integer inputs, you can use one of the nspire's factor() commands to factor the number and then manually construct a sum of logs.
Title: Re: Properties of logarithms on the TI nspire
Post by: Kyle Kelly on April 10, 2019, 10:48:35 am
I think the nspire can collapse multiple logs into one (normal behavior), but extracting you'd have to program it yourself. If it is just integer inputs, you can use one of the nspire's factor() commands to factor the number and then manually construct a sum of logs.

Okay to combine multiple logs into one how would i do it?

For example: 5 log base 3(y) - log base 3(x-4)

https://imgur.com/a/Cxvkuax (https://imgur.com/a/Cxvkuax) picture for reference and the solution i'm trying to get
Title: Re: Properties of logarithms on the TI nspire
Post by: Xeda112358 on April 10, 2019, 11:33:28 am
Oh, I just tested it out on my calc and it didn't simplify :|

What did work is when I did:
Code: [Select]
`log(3^(5*log(y,3)-log(x-4,3)),3)`