SOLUTION: 12 raised to the 5x=8 raised to 3x-2

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Question 196093: 12 raised to the 5x=8 raised to 3x-2
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
12%5E%285x%29+=+8%5E%283x+%2B+2%29
Take the log of both sides
5x%2Alog%2812%29+=+%283x+%2B+2%29%2Alog%288%29
log%2812%29+%2F+log%288%29+=+%283x+%2B+2%29+%2F+%285x%29
1.19499+=+%283x+%2B+2%29+%2F+%285x%29
5.9749x+=+3x+%2B+2
2.9749x+=+2
x+=+.6723
check answer:
12%5E%285x%29+=+8%5E%283x+%2B+2%29
12%5E3.3614+=+8%5E%283%2A.6723+%2B+2%29
12%5E3.3614+=+8%5E4.0169
4.2419+=+4.2425
Close- I think error is due to rounding off