SOLUTION: 36 raised to the r power = 216 raised to the 2r power. Solve for R. thanks for your help.

Algebra ->  Expressions-with-variables -> SOLUTION: 36 raised to the r power = 216 raised to the 2r power. Solve for R. thanks for your help.      Log On


   

Question 1060227: 36 raised to the r power = 216 raised to the 2r power.
Solve for R. thanks for your help.
Found 3 solutions by Alan3354, josgarithmetic, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
36 raised to the r power = 216 raised to the 2r power.
Solve for R.
----------
36%5Er+=+%286%5E2%29%5E%282r%29+=+6%5E%284r%29
---
216%5E%282r%29+=+%286%5E3%29%5E%282r%29+=+6%5E%286r%29
----
6%5E%284r%29+=+6%5E%286r%29
4r = 6r
2r = 0
r = 0

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
36%5Er=216%5E%282r%29

You have no R in your equation so cannot solve for it.
You could solve for r.

Pick your base.
log%28%2836%5Er%29%29=log%28%28216%5E%282r%29%29%29

r%2Alog%28%2836%29%29=2r%2Alog%28%28216%29%29

r%2Alog%28%286%5E2%29%29=2r%2Alog%28%286%5E3%29%29

2r%2Alog%28%286%29%29=6r%2Alog%28%286%29%29

2r=6r

0=4r

r=0

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

36 raised to the r power = 216 raised to the 2r power.
Solve for R. thanks for your help.
36%5Er+=+216%5E%282r%29

%286%5E2%29%5Er+=+%286%5E3%29%5E%282r%29 -------- Changing 36 and 216 to base 6

6%5E%282r%29+=+6%5E%286r%29

2r = 6r ------- Bases are equal and so are the exponents

0 = 6r - 2r

0 = 4r

highlight_green%28r+=+0%29