I've never done logarthims before, any advice to comprehend what I'm doing is appreciated. If there is a formula or steps to follow that would help too. I'm curious as to where -4 came from out of this problem. nce.XWhy is x =-4?For any positive number A such that A 1, we have the followingrule.SиA A" if and only if m nHere we have this equation.3 34So, we apply the above rule to conclude x =-4. (b) For log3 81we get the following equivalence.131log3 81if and only if=x81-4=381which gives the following.Note that3x 3-4Equating exponents, we have x=-4.MoreThus log3-4.81Start

Answered: nce. X Why is x =-4? For any positive…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section9.7: Puzzle Problems

Problem 17OE

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I've never done logarthims before, any advice to comprehend what I'm doing is appreciated. If there is a formula or steps to follow that would help too. I'm curious as to where -4 came from out of this problem.

nce.
X
Why is x =-4?
For any positive number A such that A 1, we have the following
rule.
Sи
A A" if and only if m n
Here we have this equation.
3 34
So, we apply the above rule to conclude x =-4.

(b) For log3 81
we get the following equivalence.
1
3
1
log3 81
if and only if
=x
81
-4
=3
81
which gives the following.
Note that
3x 3
-4
Equating exponents, we have x=-4.
More
Thus log3
-4.
81
Start

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