SOLUTION: solve 8^3x-3=4^3x-4

Algebra.Com
Question 1037200: solve 8^3x-3=4^3x-4
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
solve 8^3x-3=4^3x-4
~~~~~~~~~~~~~~~~~~~~~~~~

 = .

Write both sides with the base "2" using 8 =   and  4 = . You will get

 = .

Since the base are equal, the indexes are equal too:

3*(3x-3) = 2*(3x-4).

Simplify and solve it for x.

By the way, here is how to write correctly your equation when posting to this site:

8^(3x-3) = 4^(3x-4).

Use it when you will be posting next time.


RELATED QUESTIONS

3/8 = 3x/4 (answered by MathLover1)
8+4(3x-4) (answered by user_dude2008)
Solve: log[8](3x+2)=4... (answered by jb007mi6)
Solve. 10x – 4 – 5x = 6 + 3x –... (answered by jai_kos)
Solve. 10x – 4 – 5x = 6 + 3x –... (answered by checkley75)
Solve. 10x – 4 – 5x = 6 + 3x –... (answered by praseenakos@yahoo.com)
7x+4=3x-8-7x+1... (answered by jim_thompson5910)
solve:... (answered by HyperBrain)
Solve 3x - 4(5 + x) = x +... (answered by MathLover1)