Algebra 2

Q: What is the value of b in the equation 4^2b-3 = 8^1-b?

My Work/Answer:
Set each sides base to 2
2^2(2b-3) = 2^3(1-b)
cancelled bases out
solved for b
my answer - 9/7

Is my work and answer correct

Thank You

  1. 👍 0
  2. 👎 0
  3. 👁 91
asked by Bryan
  1. Make sure you include brackets in your solution, at first look your equation made little sense.

    4^(2b-3) = 8^(1-b)
    (2^2)^(2b-3) = (2^3)^(1-b)
    = 2^(4b-6) = 2^(3-3b)
    4b-6 = 3-3b
    7b = 9
    b = 9/7

    how did you get -9/7 ??

    1. 👍 0
    2. 👎 0
    posted by Reiny
  2. i got 9/7 the - was just to signify what it was sorry about the confusion. I should have put an equals sign

    1. 👍 0
    2. 👎 0
    posted by Bryan

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra 2 (check)

    I have some problems that I've answered and I need someone to check to see if I'm right. Im just posting the questons and my answer,if its wrong I'll post my work,so here it is bear with me please and thank you. 1)name which sets

    asked by erin on July 21, 2007
  2. algebra

    If trend for the depreciation of the press continued, what would be its value in the year 2015? Show how you obtained your answer using the linear equation you found in part c). Answer: Show or explain your work here: e) If the

    asked by jim on February 11, 2012
  3. physics problem-check

    do i have the following answer right? a tv set is pushed a distance of 2m with a force of 20 N that is in the same direction as the set moves. how much work is done on the set? would it be (2 m)(20 N)= 40 J

    asked by Soly on October 16, 2007
  4. algebra

    Solve. Simplify your answer. Type an exact answer using radicals as needed. y^2 + 31 = 12y Solution y = {8.236067978, 3.763932022} 1. y =(12-√20)/2=6-√ 5 = 3.764 2. y =(12+√20)/2=6+√ 5 = 8.236 Which would be the correct

    asked by slomo on February 3, 2015
  5. algebra 1

    Find the x and y intercept of this equation: 10x-70y=210 I keep getting the wrong answer. Can you show me how to set it up and work it out?

    asked by Brainiac on October 2, 2014
  6. math

    Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all of your work and write answers in rational form. 3 x + 7 = 9 Answer: x = 2/3 Show your work here: 3 x + 7 = 9 -7 - 7

    asked by mariel on July 27, 2008
  7. college algebra

    What is the answers and break down of them, Typing hint: Type x 2 as x^2 (shift 6 on the keyboard will give ^) 1) Solve the following quadratic equation by factoring: a) 7 010 2 xx =++ Answers: Show your work here: b) Solve the

    asked by jim on February 14, 2012
  8. Math- Reiny can you help me with this question

    I know how to do the work, but the way the question is worded I am not sure the answer. The math works comes out to -2 which is b but if you want the number less than -2 the answer is c. Which are they asking for . This is my

    asked by b6 on January 4, 2013
  9. Algebra 1

    What is the solution set for an equation in which all numbers work? How big is the solution set for an equation that cannot be solved?

    asked by Wendy on October 7, 2009
  10. Physics (Please)

    I'm confused and am hoping someone could help me understand energy can neither be created nor destroyed... great... so in physics classes we can set up problems and stuff were KEo + PEo = KE + PE Energy intial equals energy final

    asked by Physics on October 19, 2009

More Similar Questions