how do solve for x 2.3^x=81-3^x

1 answer

2.3^x + 3^x = 81 --- that would be a tough one.
Wolfram gave me this:
http://www.wolframalpha.com/input/?i=2.3%5Ex+%2B+3%5Ex+%3D+81

I will assume you meant to type:

2.
3^x = 81 - 3^x
2(3^x) = 81
take log of both sides and use rules of logs
log 2 + xlog3 = log81
x = (log81 - log2)/log3 = appr 3.369

otherwise, retype the equation in its proper form
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