SOLUTION: How do you solve this problem for the variable a? 36 to the a equals 216 to the 2a + 3?

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Question 446720: How do you solve this problem for the variable a? 36 to the a equals 216 to the 2a + 3?
Answer by chriswen(106) About Me  (Show Source):
You can put this solution on YOUR website!
Convert them both to the same base.
...
36%5Ea=216%5E%28a%2B3%29
%286%5E2%29%5Ea=%286%5E3%29%5E%28a%2B3%29
6%5E%282a%29=6%5E%283%28a%2B3%29%29
Therefore, 2a=3%28a%2B3%29 since, a%5E%28gloop%29=a%5E%28junk%29 therefore gloop=junk.
2a=3a%2B9
-9=3a-2a
a=-9