27^2x-1=9^10x+2

Solve for x
in Algebra 2 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

2 Answers

27 is 3^3 and 9 is 3^2, so 3^3(2x-1)=3^2(10x+2); 3(2x-1)=2(10x+2); 6x-3=20x+4; 14x=-7, x=-1/2.

CHECK: 27^-2=9^-3 or 1/27^2=1/9^3; taking square roots of each side: 1/27=1/9^(3/2)=1/3^3=1/27.

by Top Rated User (1.1m points)

Given 27^(2x-1)=9^(10x+2)
3^(3(2x-1))=3^(2(10x+2))
3(2x-1)=2( 10x+2)
6x-3=20x+4
-4-3=20x-6x
-7 = 14x
x = -7/14
x = -1/2

Pre Algebra Help
 

by Level 8 User (30.1k points)

Related questions

1 answer
27^(2x)=9^(x+1)
asked Apr 7, 2013 in Algebra 1 Answers by anonymous | 643 views
1 answer
solv algebraically for x. 27^2x+1=9^4x
asked Sep 30, 2012 in Trigonometry Answers by anonymous | 886 views
1 answer
what is the anwser to 8x+9=2x+27
asked Jan 26, 2012 in Word Problem Answers by anonymous | 663 views
1 answer
-1/9(x-27)+1/3(x+3)=x-17
asked Mar 22, 2013 in Algebra 1 Answers by anonymous | 825 views
1 answer
√((9^(x+3))/(27^x))=81
asked Jan 29, 2013 in Calculus Answers by anonymous | 1.1k views
1 answer
27^5x-6= (1/81)^3x-9 solve for x
asked Dec 6, 2012 in Algebra 1 Answers by anonymous | 883 views
2 answers
In x+9=4x-27 what is x?
asked Nov 29, 2012 in Geometry Answers by anonymous | 686 views
1 answer
solve algebraically for all values of x 81^x^3+2x^2=27^5x/3
asked Feb 26, 2013 in Algebra 2 Answers by anonymous | 2.9k views
2 answers
solve. 4x-10x-5x=99
asked Sep 29, 2013 in Algebra 2 Answers by michael | 926 views
1 answer
5x^2+10x=-1
asked Apr 16, 2013 in Geometry Answers by anonymous | 585 views
1 answer
10x^2+53x=-36
asked Apr 16, 2013 in Geometry Answers by anonymous | 654 views
1 answer
5x+5=2/10x+29
asked Apr 12, 2013 in Algebra 2 Answers by farisa Level 1 User (160 points) | 866 views
1 answer
3x^2-10x-8>0
asked Feb 25, 2013 in Algebra 1 Answers by anonymous | 669 views
1 answer
What does X equal in 5x+5=2/10x+29
asked Feb 11, 2013 in order of operations by anonymous | 1.0k views
1 answer
5x+5=10x-18
asked Jan 26, 2013 in Pre-Algebra Answers by anonymous | 614 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. complete the following. 825 use each digit once .make the two smallest 3 digit numbers and two largest 3-digit number (2)
  4. Solve 15 -1(12÷4+1)? (4)
  5. 8:4(5+2) (3)

Most popular tags

87,538 questions
99,875 answers
2,417 comments
544,515 users