Register
Please solve the exponential equation: 2^2x -6(2^x)+8=0​
84.8k views
0 votes
Please solve the exponential equation:
2^2x -6(2^x)+8=0​

User Ticofab
by
4.5k points

1 Answer

6 votes

Answer:

  • x = 2

Explanation:

  • 2²ˣ - 6*2ˣ + 8 = 0
  • 2ˣ = t

  • t² - 6t + 8 = 0
  • t² - 6t + 9 = 1
  • (t - 3)² = 1
  • t - 3 = 1
  • t = 4

  • 2ˣ = 4
  • 2ˣ = 2²
  • x = 2
User Brett Sutton
by
5.0k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

5.1m questions

6.7m answers

Other Questions

Pizza planet is running a special 3 pizzas for 16.50. What is the unit rate for one pizza
What number is halfway between 0 and 18
If the 9-inch wheel of cheese costs $18.60, what is the cost per square inch? If the cost is less than a dollar, put a zero to the left of the decimal point?
I need to simplify this expression.
Need answer to math problem!!!​
Link Copied!