SOLUTION: Solve for x: 2^(3x-1) = 4^(2x) I used logarithms to start this problem but I'm having trouble simplifying the problem. Here is what I have been able to do so far. log2^(3

Algebra.Com
Question 887532: Solve for x:
2^(3x-1) = 4^(2x)
I used logarithms to start this problem but I'm having trouble simplifying the problem. Here is what I have been able to do so far.
log2^(3x-1) = log4^(2x)
(3x-1)log2 = (2x)log4
(3x-1)= (2x)log4/log2
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Where you left off:






-------------
check:






OK
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Solve for x:
2^(3x-1) = 4^(2x)
I used logarithms to start this problem but I'm having trouble simplifying the problem. Here is what I have been able to do so far.
log2^(3x-1) = log4^(2x)
(3x-1)log2 = (2x)log4
(3x-1)= (2x)log4/log2


You could very well use logs, but it's so much easier to use exponents, and not nearly as confusing. Thus, we have:



 ------ Converting right-side to similar base: base 2



3x - 1 = 4x ----- Bases are equal, and so are their exponents

3x - 4x = 1

- x = 1





You can do the check!! 



Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.

Further help is available, online or in-person, for a fee, obviously. 



For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams,GENERAL

MATH and HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra, 

Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE,

GRE, CLEP, and the TASC/GED, you can visit: http://asvabstudyzone.freeforums.net/. 

RELATED QUESTIONS


(2x^3 - x^2 + 3x -1) ÷ (x + 2)
I am having trouble dividing/simplifying this problem. If  (answered by Edwin McCravy)

I was having trouble with this problem. I need to write it using only positive exponents.  (answered by ewatrrr)

I'm having a little trouble remembering how to solve this problem.  The instructions I... (answered by rfer)

Having hard time understanding the process used to solve this problem. I dont have any... (answered by smik)

I am having problem with this problem complex simplifying fraction.
2x-4/xy^2/3x-6y/x^3y
 (answered by ankor@dixie-net.com)

I am having a lot of trouble solving this problem. It involves factoring.  Here it is:... (answered by AnlytcPhil)

Im having trouble figuring out this problem. I attempted to figure out the LCM but really  (answered by shree840,checkley79)

I am having a problem simplifying this problem
2x+3/x-4-x-5/x+2 please help... (answered by mananth)

For simplifying complex rational expressions, my testbook gives us two methods of doing... (answered by stanbon)