Find the log y </msub> &#x2061;<!-- ⁡ --> ( x ) given x and y in the

Kenley Wagner

Kenley Wagner

Answered question

2022-05-21

Find the log y ( x )given x and y in the form of a number.

So I was doing logs trying to reteach myself pre-calculus and I noticed I don't remember how to turn logs in to numbers. I tried to calculate the log 4 8 so I turned it in to 4 x = 8 and then realized that 8 = 4 1 4 = 4 1.5 . Isn't there a method to calculate the answer even when it is an irrational number?

Answer & Explanation

szilincsifs

szilincsifs

Beginner2022-05-22Added 15 answers

I think the closest you can come is firstly expressing everything in the natural logarithm via
log a b = ln b ln a .
Then doing taylor expansion of the natural logarithm.

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