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miss Akunina [59]
3 years ago
8

I need help on thesis promblem please

Mathematics
1 answer:
astraxan [27]3 years ago
4 0
So sorry idek the answer i need points
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For any positive number b not equal to 1 and any number or variable n, evaluate the following expression.
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Answer:

 log_{b} b^{n} = n.

Step-by-step explanation:

Given :  log_{b} b^{n} , b is any positive number not equal to 1 and n is any number.

To find : Evaluate the expression  log_{b} b^{n}.

Formula used : log_{b} x^{y}. = y ∙ log_{b}(x) and

log_{b}(b) = 1.Solution : We have  [tex]log_{b} b^{n}.

By logarithm rule :  log_{b} x^{y}. = y ∙ log_{b}(x).

Then  log_{b} b^{n} = n∙ log_{b}(b).

By logarithm rule :  log_{b}(b) = 1.Now, n∙ [tex]log_{b}(b) = n.

Therefore,  log_{b} b^{n} = n.

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