120k views
10 votes
HELP PLEASE!!
100 POINTS!!

HELP PLEASE!! 100 POINTS!!-example-1
User Lorenza
by
4.3k points

2 Answers

14 votes

Answer:

x=2

Explanation:

:]

User Jan Henke
by
4.1k points
5 votes

Answer:


x=2

Explanation:

We are given:


\displaystyle (w^(-x+4))/(w^(-3))=w^(2x+1)

First, by the quotient property:


w^((-x+4)-(-3))=w^(2x+1)

Since they both have the same base, their exponents must be equivalent:


(-x+4)-(-3)=2x+1

Solve for x. Simplify:


-x+7=2x+1

Therefore:


3x=6\Rightarrow x=2

User Lester
by
3.6k points