SOLUTION: 3 raised to x plus 3 plus 3 raised X = 84

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Question 319652: 3 raised to x plus 3 plus 3 raised X = 84
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Is this it:
3%5E%28x%2B3%29+%2B+3%5Ex+=+84 ?
A general rule is:
a%5E%28b+%2B+c%29+=+a%5Eb%2Aa%5Ec, so I can rewrite as
3%5Ex%2A3%5E3+%2B+3%5Ex+=+84
Then I can factor out 3%5Ex
3%5Ex%2A%283%5E3+%2B+1%29+=+84
10%2A3%5Ex+=+84
3%5Ex+=+8.4
log%283%5Ex%29+=+log%288.4%29
x%2Alog%283%29+=+log%288.4%29
x+=+log%288.4%29%2Flog%283%29
x+=+.92428%2F.47712
x+=+1.93721