SOLUTION: How would I do this problem? 2log2(x)+log2(3)=log2(27)

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Question 323102: How would I do this problem?
2log2(x)+log2(3)=log2(27)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
2%2Alog%282%2Cx%29+%2B+log%282%2C3%29+=+log%282%2C27%29
log%282%2Cx%5E2%29+%2B+log%282%2C3%29+=+log%282%2C3%5E3%29
log%282%2Cx%5E2%29+=+3%2Alog%282%2C3%29+-+log%282%2C3%29
log%282%2Cx%5E2%29+=+2%2Alog%282%2C3%29
log%282%2Cx%5E2%29+=+log%282%2C3%5E2%29
x%5E2+=+3%5E2
x%5E2+=+9
x+=+3
x+=+-3 This must be discarded, since no log with a positive base can
give a negative result
I'll check for x+=+3
2%2Alog%282%2Cx%29+%2B+log%282%2C3%29+=+log%282%2C27%29
2%2Alog%282%2C3%29+%2B+log%282%2C3%29+=+log%282%2C27%29
log%282%2C3%5E2%29+%2B+log%282%2C3%29+=+log%282%2C3%5E3%29
log%282%2C3%5E3%29+=+log%282%2C3%5E3%29
OK