Need Help Solving, Expanding, Rewriting, Graphing Logarithmic Functions

[constant constant]

Homework Statement

Solving, Expanding, Rewriting, Maybe Graphing? Logarithmic Functions. :)

Relevant Equations

Here are some equations if you find that easier:

log8(2) + log8(24) - log8(5) = 27

log3(34)

Why not throw in an exponential:

Where,

_ = coefficient

^ = exponential

4e^2k + 1_ + 3 = 27

I personally have no need for picture examples on this. But if you wish, I may. I was curious if anyone wanted to enlighten me with different methods to either rewrite, solve, expand, or even graph logarithmic functions. Sorta big ask. Though, it would be very refreshing. I myself have some understanding. But I've been studying by myself (against better judgement). It's very unclear where to start making a readable study guide so that's why I'm here.

 

[anuttarasammyak]

If you use tex I will know you better. e.g.
$$\log_8 2=\frac{1}{3}$$

 

[BvU]

Homework Statement: Solving, Expanding, Rewriting, Maybe Graphing? Logarithmic Functions. :)
Relevant Equations: Here are some equations if you find that easier:

log8(2) + log8(24) - log8(5) = 27

log3(34)

Why not throw in an exponential:

Where,

_ = coefficient

^ = exponential

4e^2k + 1_ + 3 = 27

I personally have no need for picture examples on this. But if you wish, I may. I was curious if anyone wanted to enlighten me with different methods to either rewrite, solve, expand, or even graph logarithmic functions. Sorta big ask. Though, it would be very refreshing. I myself have some understanding. But I've been studying by myself (against better judgement). It's very unclear where to start making a readable study guide so that's why I'm here.

PF isn't all that good at rewriting textbooks, but there is plenty of material in the Science and Math Textbooks Forum so please have a look around there and see if there is something that suits you.

I suspect english is not your first language, and it's not all that clear to me what exactly it is that you are asking. Do you want us to solve your equations ? Provide a study guide? Make plots ?

Please clarify

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