Solution Found!
Answer: In Exercises 2538, solve each equation by the
Chapter 3, Problem 3.1.1.359(choose chapter or problem)
QUESTION:
In Exercises 25–38, solve each equation by the method of your choice. Support your solution by a second method.
\(\frac{2^x-2^{-x}}{3}=4\)
Questions & Answers
QUESTION:
In Exercises 25–38, solve each equation by the method of your choice. Support your solution by a second method.
\(\frac{2^x-2^{-x}}{3}=4\)
ANSWER:Step 1 of 3
We start by multiplying both sides of the equation by 3
If we manage to express this equation only in positive exponents, we may be able to solve it by substitution. Note that we can write the left-hand side as
We combine the fractions
As 
Now we have a form we can solve by substitution. Let 
We complete the square
