If f(x)=loga x, show that f(A B)=f(A)+f(B)

Name: If f(x)=loga x, show that f(A B)=f(A)+f(B)
Uploaded: 2023-06-09T21:12:45-08:00
Duration: 47 s
Channel: Numerade
Description: If f(x)=loga x, show that f(A B)=f(A)+f(B)

Question

Heather Zimmers · Answer

Okay, so for this function, we want to show that F of A b is equal to F of A plus F of B. And ju

Sherrie Fenner · Answer

So we have F of F, A, B equals log of A, B. And we have F of X, X equals log of. All right. So n

Sherrie Fenner · Answer

So we&#x27;re given F of X equals log base A of X. And they want us to show F of 1 over X equals nega

Heather Zimmers · Answer

Okay, if f of x is log base a of x, then f of 1 over x is going to be log base a of 1 over x. An

Heather Zimmers · Answer

Our goal is to show that this statement is true. And so what I&#x27;m going to do is I&#x27;m going to tak

Question

If $f(x)=\log _{a} x,$ show that $f(A B)=f(A)+f(B)$

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